| FullText URL | mjou_008_143_179.pdf |
|---|---|
| Author | Otsuki, Tominosuke| |
| Published Date | 1958-12 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume8 |
| Issue | issue2 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 143 |
| End Page | 179 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| language | English |
| Copyright Holders | Copyright©1958 by the Editorial Board of Mathematical Journal of Okayama University |
| Author | Morimoto, Shoji| |
|---|---|
| Published Date | 1994-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume36 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/33210 |
| Author | Zhongkui, Liu| Xiaoyan, Yang| |
|---|---|
| Published Date | 2010-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume52 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/33505 |
| Author | Agaoka, Yoshio| |
|---|---|
| Published Date | 2011-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume53 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/41406 |
| Author | Stix, Jakob| |
|---|---|
| Published Date | 2010-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume52 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/33497 |
| Author | Najman, Filip| |
|---|---|
| Published Date | 2011-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume53 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/41398 |
| Author | Hai, Pham Viet| Thanh, Le Ngoc| |
|---|---|
| Published Date | 2011-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume53 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/41405 |
| Author | Qi, Yan| |
|---|---|
| Published Date | 2012-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume54 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/47196 |
| Author | Basar, Feyzi| Sever, Yurdal| |
|---|---|
| Published Date | 2009-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume51 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/33223 |
| Author | Suzuki, Naoya| |
|---|---|
| Published Date | 2015-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume57 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/53044 |
| Author | Qi, Yan| |
|---|---|
| Published Date | 2015-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume57 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/53043 |
| Author | Haran, Dan| Jarden, Moshe| Pop, Florian| |
|---|---|
| Published Date | 2013-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume55 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/49096 |
| Author | Yamagishi, Hiroyuki| Watanabe, Kohtaro| Kametaka, Yoshinori| |
|---|---|
| Published Date | 2014-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume56 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/52074 |
| Author | Hoshino, Kenji| |
|---|---|
| Published Date | 2010-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume52 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/33499 |
| Author | Akazawa, Hiroki| |
|---|---|
| Published Date | 2005-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume47 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/33598 |
| Author | Baba, Yoshitomo| Miki, Hiroyuki| |
|---|---|
| Published Date | 2000-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume42 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/33290 |
| Author | Brauer, Richard| |
|---|---|
| Published Date | 1979-12 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume21 |
| Issue | issue2 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/33826 |
| Author | Hazi, Mohammed| |
|---|---|
| Published Date | 2003-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume45 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/33724 |
| FullText URL | mjou_064_187_190.pdf |
|---|---|
| Author | Puthenpurakal, Tony J. | |
| Abstract | 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. |
| Keywords | quasi-polynomials monomial ideals symbolic powers |
| Published Date | 2022-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume64 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 187 |
| End Page | 190 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| language | English |
| Copyright Holders | Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University |
| Author | Yoshida, Tomoyoshi| |
|---|---|
| Published Date | 1982-06 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume24 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/33989 |
