| 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 |
| Author | Takenouchi, Osamu| |
|---|---|
| Published Date | 1955-03 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume4 |
| Issue | issue2 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/33754 |
| Author | Ninomiya, Nobuyuki| |
|---|---|
| Published Date | 1953-03 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume2 |
| Issue | issue2 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/33169 |
| Author | Dixmier, J.| |
|---|---|
| Published Date | 1962-03 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume11 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/33617 |
| Author | Fujiwara, Kaichiro| |
|---|---|
| Published Date | 1954-03 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume3 |
| Issue | issue2 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/33182 |
| Author | Takenouchi, Osamu| |
|---|---|
| Published Date | 1952-10 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume2 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/33172 |
| Author | Ninomiya, Nobuyuki| |
|---|---|
| Published Date | 1952-10 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume2 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/33178 |
| Author | Takenouchi, Osamu| |
|---|---|
| Published Date | 1957-12 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume7 |
| Issue | issue2 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/33634 |
| Author | Inagaki, Takeshi| |
|---|---|
| Published Date | 1952-03 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume1 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/33715 |
| Author | Trzepizur, Andrzej| |
|---|---|
| Published Date | 1984-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume26 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/33344 |
| Author | Ninomiya, Nobuyuki| |
|---|---|
| Published Date | 1952-10 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume2 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/33176 |
| Author | Nagahara, Takasi| |
|---|---|
| Published Date | 1966-10 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume12 |
| Issue | issue2 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/33513 |
| Author | Hirano, Yasuyuki| Hongan, Motoshi| Tominaga, Hisao| |
|---|---|
| Published Date | 1981-12 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume23 |
| Issue | issue2 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/33856 |
| Author | Nagahara, Takasi| |
|---|---|
| Published Date | 1977-06 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume19 |
| Issue | issue2 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/33407 |
| Author | Nagahara, Takasi| Kishimoto, Kazuo| Tominaga, Hisao| |
|---|---|
| Published Date | 1963-03 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume11 |
| Issue | issue2 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/33612 |
| Author | Tominaga, Hisao| |
|---|---|
| Published Date | 1954-03 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume3 |
| Issue | issue2 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/33187 |
