Quasi-socle ideals in a Gorenstein local ring
| dc.creator | Goto, Shiro | |
| dc.creator | Matsuoka, Naoyuki | |
| dc.creator | Takahashi, Ryo | |
| dc.date | 2006-12-13 | |
| dc.date | 2007-07-28 | |
| dc.date.accessioned | 2026-07-07T08:20:35Z | |
| dc.date.available | 2026-07-07T08:20:35Z | |
| dc.description | This paper explores the structure of quasi-socle ideals I=Q:m^2 in a Gorenstein local ring A, where Q is a parameter ideal and m is the maximal ideal in A. The purpose is to answer the problem of when Q is a reduction of I and when the associated graded ring G(I) = \bigoplus_{n \geq 0}I^n/I^{n+1} is Cohen-Macaulay. Wild examples are explored. | |
| dc.description | 20 pages, minor changes, to appear in J. Pure Appl. Algebra | |
| dc.identifier | https://arxiv.org/abs/math/0612333 | |
| dc.identifier | http://arxiv.org/abs/math/0612333 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/135110 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13H10, 13A30, 13B22, 13H15 | |
| dc.title | Quasi-socle ideals in a Gorenstein local ring | |
| dc.type | text |