検索結果 21130 件
| JaLCDOI | 10.18926/AMO/62815 |
|---|---|
| フルテキストURL | 75_6_741.pdf |
| 著者 | Morita, Tetsuro| Shiode, Yusuke| Kimura, Shuhei| Hosokawa, Mio| Doi, Shinichiro| Takahashi, Kosuke| Matoba, Ryo| Kanzaki, Yuki| Tabata, Masahiro| Morizane, Yuki| |
| 抄録 | A 65-year-old man presented with a 1-week history of left eye distortion. An elevated choroidal lesion covering 6 disc diameters was found in the posterior retina of the left eye. Systemic examination revealed sublingual gland carcinoma and multiple lung metastases, and the diagnosis was choroidal metastasis from sublingual gland carcinoma. Following chemotherapy and radiation therapy, the choroidal lesion shrunk and the patient’s visual acuity improved. The patient died 23 months after his first visit. To the best of our knowledge, this is the first reported case of choroidal metastasis from sublingual gland carcinoma. |
| キーワード | adenoid cystic carcinoma choroidal metastasis sublingual gland |
| Amo Type | Case Report |
| 出版物タイトル | Acta Medica Okayama |
| 発行日 | 2021-12 |
| 巻 | 75巻 |
| 号 | 6号 |
| 出版者 | Okayama University Medical School |
| 開始ページ | 741 |
| 終了ページ | 744 |
| ISSN | 0386-300X |
| NCID | AA00508441 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| 著作権者 | Copyright Ⓒ 2021 by Okayama University Medical School |
| 論文のバージョン | publisher |
| 査読 | 有り |
| PubMed ID | 34955543 |
| Web of Science KeyUT | 000735319800001 |
| NAID | 120007180277 |
| JaLCDOI | 10.18926/AMO/62814 |
|---|---|
| フルテキストURL | 75_6_735.pdf |
| 著者 | Nagai, Yasuo| Takagi, Kosei| Kuise, Takashi| Umeda, Yuzo| Yoshida, Ryuichi| Yoshida, Kazuhiro| Yasui, Kazuya| Yagi, Takahito| Fujiwara, Toshiyoshi| |
| 抄録 | Surgical intervention for hepatolithiasis following hepaticojejunostomy (HJ) has rarely been reported. Herein, we present a case of post-HJ multiple hepatolithiasis treated with left hemihepatectomy with double HJ reconstruction. A 72-year-old woman who had undergone HJ for iatrogenic bile duct injury developed repeated cholangitis due to complicated hepatolithiasis accompanied by an atrophied left hepatic lobe and HJ stricture. Since endoscopic intervention was unsuccessful, the patient underwent left hemihepatectomy with HJ re-anastomoses of the common hepatic duct and left hepatic duct (double HJ technique). The double HJ technique with hepatectomy can be a useful option for treating complicated hepatolithiasis following HJ. |
| キーワード | hepatolithiasis hepaticojejunostomy hepatectomy |
| Amo Type | Case Report |
| 出版物タイトル | Acta Medica Okayama |
| 発行日 | 2021-12 |
| 巻 | 75巻 |
| 号 | 6号 |
| 出版者 | Okayama University Medical School |
| 開始ページ | 735 |
| 終了ページ | 739 |
| ISSN | 0386-300X |
| NCID | AA00508441 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| 著作権者 | Copyright Ⓒ 2021 by Okayama University Medical School |
| 論文のバージョン | publisher |
| 査読 | 有り |
| PubMed ID | 34955542 |
| Web of Science KeyUT | 000735297900009 |
| NAID | 120007180278 |
| JaLCDOI | 10.18926/AMO/62813 |
|---|---|
| フルテキストURL | 75_6_725.pdf |
| 著者 | Matsumoto, Hiroshi| Kimata, Yoshihiro| Ota, Tomoyuki| Sugiyama, Narushi| Onoda, Satoshi| Makino, Takuma| Takeda, Seiko| Mizukawa, Nobuyoshi| |
| 抄録 | The long-term changes in tissues implanted in the oral cavity and pharynx after head and neck reconstruction have not been fully evaluated. This study aimed to clarify the morphological changes, long-term durability, and potential for secondary carcinogenesis in such tissues. In our single-center study, the rough morphological changes in 54 cases of intraoral and pharyngeal skin and mucosal flaps were evaluated more than 10 years after flap transfer. In addition, the literature on the development of second carcinomas from skin flaps was reviewed. The mean follow-up period for transferred flaps was 148 months. The reconstruction areas and the probability of morphological changes were significantly correlated (p=0.006), especially in cases with tongue, lower gingiva, and buccal mucosal reconstruction. Free jejunal flap surfaces were well maintained, whereas tubed skin flaps showed severe morphological changes in cases with pharyngeal reconstruction. None of the flaps in our series developed second primary carcinomas. Skin flaps generally had good durability for > 10 years in intraoral environments, while mucosal flaps had better durability for pharyngeal reconstruction. Second squamous carcinomas arising from skin flaps are extremely rare; however, surgeons should take this possibility into consideration and conduct meticulous and long-term follow-up. |
| キーワード | skin flap mucosal flap oral reconstruction morphological change second primary carcinoma |
| Amo Type | Original Article |
| 出版物タイトル | Acta Medica Okayama |
| 発行日 | 2021-12 |
| 巻 | 75巻 |
| 号 | 6号 |
| 出版者 | Okayama University Medical School |
| 開始ページ | 725 |
| 終了ページ | 734 |
| ISSN | 0386-300X |
| NCID | AA00508441 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| 著作権者 | Copyright Ⓒ 2021 by Okayama University Medical School |
| 論文のバージョン | publisher |
| 査読 | 有り |
| PubMed ID | 34955541 |
| NAID | 120007180279 |
| JaLCDOI | 10.18926/AMO/62810 |
|---|---|
| フルテキストURL | 75_6_705.pdf |
| 著者 | Iwata, Takehiro| Maruyama, Yuki| Kawada, Tatsushi| Sadahira, Takuya| Katayama, Satoshi| Takamoto, Atsushi| Sako, Tomoko| Wada, Koichiro| Edamura, Kohei| Kobayashi, Yasuyuki| Araki, Motoo| Watanabe, Masami| Watanabe, Toyohiko| Nasu, Yasutomo| |
| 抄録 | Optimal neoadjuvant hormone therapy (NHT) for reducing prostate cancer (PC) patients’ prostate volume pre-brachytherapy is controversial. We evaluated the differential impact of neoadjuvant gonadotropin-releasing hormone (GnRH) antagonist versus agonist on post-brachytherapy testosterone recovery in 112 patients treated pre-brachytherapy with NHT (GnRH antagonist, n=32; GnRH agonists, n=80) (Jan. 2007-June 2019). We assessed the effects of patient characteristics and a GnRH analogue on testosterone recovery with logistic regression and a propensity score analysis (PSA). There was no significant difference in the rate of testosterone recovery to normal levels (> 300 ng/dL) between the GnRH antagonist and agonists (p=0.07). The GnRH agonists induced a significantly more rapid testosterone recovery rate at 3 months post-brachytherapy versus the GnRH antagonist (p<0.0001); there was no difference in testosterone recovery at 12 months between the GnRH antagonist/agonists (p=0.8). In the multivariate analysis, no actor was associated with testosterone recovery. In the PSA, older age and higher body mass index (BMI) were significantly associated with longer testosterone recovery. Post-brachytherapy testosterone recovery was quicker with the neoadjuvant GnRH agonists than the antagonist, and the testosterone recovery rate was significantly associated with older age and higher BMI. Long-term follow-ups are needed to determine any differential effects of GnRH analogues on the quality of life of brachytherapy-treated PC patients. |
| キーワード | testosterone recovery GnRH antagonist GnRH agonist brachytherapy prostate cancer |
| Amo Type | Original Article |
| 出版物タイトル | Acta Medica Okayama |
| 発行日 | 2021-12 |
| 巻 | 75巻 |
| 号 | 6号 |
| 出版者 | Okayama University Medical School |
| 開始ページ | 705 |
| 終了ページ | 711 |
| ISSN | 0386-300X |
| NCID | AA00508441 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| 著作権者 | Copyright Ⓒ 2021 by Okayama University Medical School |
| 論文のバージョン | publisher |
| 査読 | 有り |
| PubMed ID | 34955538 |
| Web of Science KeyUT | 000735297900006 |
| NAID | 120007180282 |
| JaLCDOI | 10.18926/AMO/62809 |
|---|---|
| フルテキストURL | 75_6_699.pdf |
| 著者 | Kawano, Tetsuya| Miyakoshi, Naohisa| Tsuchie, Hiroyuki| Kashiwagura, Takeshi| Kobayashi, Moto| Aonuma, Hiroshi| Sugimura, Yusuke| Shimada, Yoichi| |
| 抄録 | Glucocorticoid-induced osteoporosis (GIOP) is one of the side effects associated with glucocorticoid (GC) therapy. In 2014, the Japanese Society for Bone and Mineral Research (JSBMR) provided new guidelines for the management and treatment of GIOP. The aim of the present study was to clarify the prevalence of patients with rheumatoid arthritis (RA) requiring treatment according to the new guidelines and to identify risk factors associated with lack of treatment in these patients. Patients in the 2018 Akita Orthopedic group on Rheumatoid Arthritis (AORA) database were enrolled. Of 2,234 patients with RA in the database, 683 (30.6%) met the 2014 JSBMR guideline treatment criteria, and 480 (70.3%) had been treated. The untreated group included a larger number of males, younger patients, and patients treated in clinics rather than hospital (p<0.001, p=0.015, and p<0.001, respectively). Multivariate analyses found that male sex, younger age, and clinic-based RA care were significant risk factors associated with lack of treatment (p<0.001, p=0.013, and p<0.001, respectively). Thus, male sex, younger age, and clinic-based care were identified as risk factors |
| キーワード | glucocorticoid glucocorticoid-induced osteoporosis rheumatoid arthritis osteoporosis osteopenia |
| Amo Type | Original Article |
| 出版物タイトル | Acta Medica Okayama |
| 発行日 | 2021-12 |
| 巻 | 75巻 |
| 号 | 6号 |
| 出版者 | Okayama University Medical School |
| 開始ページ | 699 |
| 終了ページ | 704 |
| ISSN | 0386-300X |
| NCID | AA00508441 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| 著作権者 | Copyright Ⓒ 2021 by Okayama University Medical School |
| 論文のバージョン | publisher |
| 査読 | 有り |
| PubMed ID | 34955537 |
| Web of Science KeyUT | 000735297900005 |
| NAID | 120007180283 |
| JaLCDOI | 10.18926/AMO/62806 |
|---|---|
| フルテキストURL | 75_6_677.pdf |
| 著者 | Tani Kazumasa| Mitsui, Takashi| Mishima, Sakurako| Ohira, Akiko| Maki, Jota| Eto, Eriko| Hayata, Kei| Nakamura, Keiichiro| Masuyama, Hisashi| |
| 抄録 | Extravillous trophoblast (EVT) invasion is important for embryo implantation, placental development, and successful remodeling of the uterine spiral artery. Endocrine gland derived-vascular endothelial growth factor (EG-VEGF) and matrix metalloproteinases (MMPs) are implicated in EVT invasion; however, the high con-centrations found in pregnancy pathologies have not been investigated in non-tumor trophoblasts. The roles of EG-VEGF, prokineticin receptors (PROKR1/2), MMP-2, and MMP-9 in EVT invasion during spiral artery remodeling were evaluated using human EVT from HTR-8/SVneo cell lines. The expression of MMP-2, MMP-9, and mitogen-activated protein kinase (MAPK), and Akt pathways in HTR-8/SVneo cells treated with recom-binant EG-VEGF alongside anti-PROKR1 and/or anti-PROKR2 antibodies was evaluated using quantitative reverse transcription-PCR and western blotting. Wound-healing and cell invasion assays were performed to assess the migration and invasion of these treated cells. Interestingly, 20 nM EG-VEGF activated ERK1/2 sig-naling and upregulated MMP-2 and MMP-9. This effect was suppressed by anti-PROKR2 antibody via ERK1/2 downregulation. Anti-PROKR2 antibody inhibited the migration and invasion of EG-VEGF-stimulated HTR-8/SVneo cells. Elevated concentrations of EG-VEGF enhance EVT invasion in a human trophoblast cell line by upregulating MMP-2 and MMP-9 via PROKR2. These new insights into the regulation of epithelial cell invasion may help in developing therapeutic interventions for placental-related diseases during pregnancy. |
| キーワード | endocrine gland-derived vascular endothelial growth factor prokineticin extravillous trophoblast matrix metalloproteinase obstetric diseases |
| Amo Type | Original Article |
| 出版物タイトル | Acta Medica Okayama |
| 発行日 | 2021-12 |
| 巻 | 75巻 |
| 号 | 6号 |
| 出版者 | Okayama University Medical School |
| 開始ページ | 677 |
| 終了ページ | 684 |
| ISSN | 0386-300X |
| NCID | AA00508441 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| 著作権者 | Copyright Ⓒ 2021 by Okayama University Medical School |
| 論文のバージョン | publisher |
| 査読 | 有り |
| PubMed ID | 34955534 |
| Web of Science KeyUT | 000735297900002 |
| NAID | 120007180286 |
| JaLCDOI | 10.18926/AMO/62805 |
|---|---|
| フルテキストURL | 75_6_671.pdf |
| 著者 | Gao, Shangze| Nishibori, Masahiro| |
| 抄録 | Histidine-rich glycoprotein (HRG) is a 75 kDa plasma protein that is synthesized in the liver of many verte-brates and present in their plasma at relatively high concentrations of 100-150 μg/mL. HRG is an abundant and well-characterized protein having a multidomain structure that enable it to interact with many ligands, func-tion as an adaptor molecule, and participate in numerous physiological and pathological processes. As a plasma protein, HRG has been reported to regulate vascular biology, including coagulation, fibrinolysis and angiogenesis, through its binding with several ligands (heparin, FXII, fibrinogen, thrombospondin, and plas-minogen) and interaction with many types of cells (endothelial cells, erythrocytes, neutrophils and platelets). This review aims to summarize the roles of HRG in maintaining vascular homeostasis and regulating angiogen-esis in various pathological conditions. |
| キーワード | histidine-rich glycoprotein vascular biology coagulation angiogenesis |
| Amo Type | Review |
| 出版物タイトル | Acta Medica Okayama |
| 発行日 | 2021-12 |
| 巻 | 75巻 |
| 号 | 6号 |
| 出版者 | Okayama University Medical School |
| 開始ページ | 671 |
| 終了ページ | 675 |
| ISSN | 0386-300X |
| NCID | AA00508441 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| 著作権者 | Copyright Ⓒ 2021 by Okayama University Medical School |
| 論文のバージョン | publisher |
| 査読 | 有り |
| PubMed ID | 34955533 |
| Web of Science KeyUT | 000735297900001 |
| NAID | 120007180287 |
| フルテキストURL | mjou_064_215_225.pdf |
|---|---|
| 著者 | Hyodo, Fumitake| |
| 抄録 | This paper focuses on the theory of the Hecke rings associated with the general linear groups originally studied by Hecke and Shimura et al., and moreover generalizes its notions to Hecke rings associated with the automorphism groups of certain algebras. Then, in the case of the Heisenberg Lie algebra, we show an analog of the classical theory. |
| キーワード | Hecke rings noncommutative rings |
| 発行日 | 2022-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 64巻 |
| 号 | 1号 |
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University |
| 開始ページ | 215 |
| 終了ページ | 225 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| 著作権者 | Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University |
| フルテキストURL | mjou_064_191_213.pdf |
|---|---|
| 著者 | Suzuki, Takeshi| Toyosawa, Yoshitaka| |
| 抄録 | We present a conjectural hook formula concerning the number of the standard tableaux on "cylindric" skew diagrams. Our formula can be seen as an extension of Naruse's hook formula for skew diagrams. Moreover, we prove our conjecture in some special cases. |
| 発行日 | 2022-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 64巻 |
| 号 | 1号 |
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University |
| 開始ページ | 191 |
| 終了ページ | 213 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| 著作権者 | Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University |
| フルテキストURL | mjou_064_187_190.pdf |
|---|---|
| 著者 | Puthenpurakal, Tony J. | |
| 抄録 | Let K be a field and consider the standard grading on A = K[X1, ... ,Xd]. Let I, J be monomial ideals in A. Let In(J) = (In : J∞) be the nth symbolic power of I with respect to J. It is easy to see that the function fI J (n) = e0(In(J)/In) is of quasi-polynomial type, say of period g and degree c. For n ≫ 0 say fIJ (n) = ac(n)nc + ac−1(n)nc−1 + lower terms, where for i = 0, ... , c, ai : N → Q are periodic functions of period g and ac ≠0. In [4, 2.4] we (together with Herzog and Verma) proved that dim In(J)/In is constant for n ≫ 0 and ac(−) is a constant. In this paper we prove that if I is generated by some elements of the same degree and height I ≥ 2 then ac−1(−) is also a constant. |
| キーワード | quasi-polynomials monomial ideals symbolic powers |
| 発行日 | 2022-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 64巻 |
| 号 | 1号 |
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University |
| 開始ページ | 187 |
| 終了ページ | 190 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| 著作権者 | Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University |
| フルテキストURL | mjou_064_153_186.pdf |
|---|---|
| 著者 | Nishiyama, Yuta| |
| 抄録 | In this article, we introduce some identities obtained from the inner products of some symmetric polynomials including the Macdonald polynomials. These identities are obtained not only from the inner products, but also by constructing certain bijections. The bijections are constructed through transforming the Young diagrams of partitions. |
| キーワード | Macdonald polynomials Young diagram bijective proof |
| 発行日 | 2022-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 64巻 |
| 号 | 1号 |
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University |
| 開始ページ | 153 |
| 終了ページ | 186 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| 著作権者 | Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University |
| フルテキストURL | mjou_064_143_151.pdf |
|---|---|
| 著者 | Aokage, Kazuya | Tabata, Sumitaka | Yamada, Hiro-Fumi| |
| 抄録 | A quantum version of classical Sylvester-Franke theorem is presented. After reviewing some representation theory of the quantum group GLq (n, C), the commutation relations of the matrix elements are verified. Once quantum determinant of the representation matrix is defined, the theorem follows naturally |
| キーワード | Quantum general linear group Sylvester-Franke theorem |
| 発行日 | 2022-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 64巻 |
| 号 | 1号 |
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University |
| 開始ページ | 143 |
| 終了ページ | 151 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| 著作権者 | Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University |
| フルテキストURL | mjou_064_117_141.pdf |
|---|---|
| 著者 | Wang, Qi| |
| 抄録 | As the first attempt to classify τ-tilting finite two-point algebras, we have determined the τ-tilting finiteness for minimal wild two-point algebras and some tame two-point algebras. |
| キーワード | Support τ-tilting modules τ-tilting finite two-point algebras |
| 発行日 | 2022-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 64巻 |
| 号 | 1号 |
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University |
| 開始ページ | 117 |
| 終了ページ | 141 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| 著作権者 | Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University |
| フルテキストURL | mjou_064_109_116.pdf |
|---|---|
| 著者 | Yagita, Nobuaki| |
| 抄録 | Let p be a prime number. For a given finite group G, let gr*γ(BG) be the associated ring of the gamma filtration of the topological K-theory for the classifying space BG. In this paper, we study gr*γ(BG) when G are abelian p-groups which are not elementary. In particular, we extend related Chetard’s results for such 2-groups to p-groups for odd p. |
| キーワード | K-theory gamma fitration abelian p-group |
| 発行日 | 2022-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 64巻 |
| 号 | 1号 |
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University |
| 開始ページ | 109 |
| 終了ページ | 116 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| 著作権者 | Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University |
| フルテキストURL | mjou_064_075_107.pdf |
|---|---|
| 著者 | Nagamachi, Ippei| |
| 抄録 | We give good reduction criteria for hyperbolic polycurves, i.e., successive extensions of families of curves, under some assumptions. These criteria are higher dimensional versions of the good reduction criterion for hyperbolic curves given by Oda and Tamagawa. |
| キーワード | good reduction, hyperbolic curve, polyucurve, ètale fundamental group. |
| 発行日 | 2022-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 64巻 |
| 号 | 1号 |
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University |
| 開始ページ | 75 |
| 終了ページ | 107 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| 著作権者 | Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University |
| フルテキストURL | mjou_064_063_073.pdf |
|---|---|
| 著者 | Tasaka, Koji| |
| 抄録 | A partial answer to a conjecture about the rank of the matrix CN,r introduced by Francis Brown in the study of totally odd multiple zeta values is given. |
| キーワード | Multiple zeta values Period polynomials |
| 発行日 | 2022-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 64巻 |
| 号 | 1号 |
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University |
| 開始ページ | 63 |
| 終了ページ | 73 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| 著作権者 | Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University |
| フルテキストURL | mjou_064_047_061.pdf |
|---|---|
| 著者 | Yamanaka, Satoshi| |
| 抄録 | The notion of weakly separable extensions was introduced by N. Hamaguchi and A. Nakajima as a generalization of separable extensions. The purpose of this article is to give a characterization of weakly separable polynomials in skew polynomial rings. Moreover, we shall show the relation between separability and weak separability in skew polynomial rings of derivation type. |
| キーワード | separable extension weakly separable extension skew polynomial ring derivation |
| 発行日 | 2022-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 64巻 |
| 号 | 1号 |
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University |
| 開始ページ | 47 |
| 終了ページ | 61 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| 著作権者 | Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University |
| フルテキストURL | mjou_064_031_045.pdf |
|---|---|
| 著者 | Yamagishi, Hiroyuki| |
| 抄録 | We have the best constants of three kinds of discrete Sobolev inequalities on the complete bipartite graph with 2N vertices, that is, KN,N. We introduce a discrete Laplacian A on KN,N. A is a 2N ×2N real symmetric positive-semidefinite matrix whose eigenvector corresponding to zero eigenvalue is 1 = t(1, 1, … , 1)∈ C2N. A discrete heat kernel, a Green’s matrix and a pseudo Green’s matrix play important roles in giving the best constants. |
| キーワード | Discrete Sobolev inequality Discrete Laplacian Green’s matrix Reproducing relation |
| 発行日 | 2022-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 64巻 |
| 号 | 1号 |
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University |
| 開始ページ | 31 |
| 終了ページ | 45 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| 著作権者 | Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University |
| フルテキストURL | mjou_064_013_029.pdf |
|---|---|
| 著者 | Seita, Kohei| |
| 抄録 | Let G be a finite group. In 1970s, T. Petrie defined the Smith equivalence of real G-modules. The Smith set of G is the subset of the real representation ring consisting of elements obtained as differences of Smith equivalent real G-modules. Various results of the topic have been obtained. The d-Smith set of G is the set of all elements [V ]−[W] in the Smith set of G such that the H-fixed point sets of V and W have the same dimension for all subgroups H of G. The results of the Smith sets of the alternating groups and the symmetric groups are obtained by E. Laitinen, K. Pawa lowski and R. Solomon. In this paper, we give the calculation results of the d-Smith sets of the alternating groups and the symmetric groups. In addition, we give the calculation results of the d-Smith sets of Cartesian products of the alternating groups and finite elementary abelian 2-groups. |
| キーワード | Real G-module Smith equivalence Oliver group alternating group |
| 発行日 | 2022-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 64巻 |
| 号 | 1号 |
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University |
| 開始ページ | 13 |
| 終了ページ | 29 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| 著作権者 | Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University |
| フルテキストURL | mjou_064_001_011.pdf |
|---|---|
| 著者 | Hoshi, Yuichiro| |
| 抄録 | In the present paper, we consider torsion points on ample divisors on abelian varieties. We prove that, for each integer n ≤ 2, an effective divisor of level n on an abelian variety does not contain the subgroup of n-torsion points. Moreover, we also discuss an application of this result to the study of the p-rank of cyclic coverings of curves in positive characteristic. |
| キーワード | abelian variety torsion point curve p-rank |
| 発行日 | 2022-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 64巻 |
| 号 | 1号 |
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University |
| 開始ページ | 1 |
| 終了ページ | 11 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| 著作権者 | Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University |