| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4597552 | Journal of Pure and Applied Algebra | 2008 | 12 Pages |
Abstract
This paper explores the structure of quasi-socle ideals I=Q:m2I=Q:m2 in a Gorenstein local ring AA, where QQ is a parameter ideal and mm is the maximal ideal in AA. The purpose is to answer the problems as to when QQ is a reduction of II and when the associated graded ring G(I)=⨁n≥0In/In+1 is Cohen–Macaulay. Wild examples are explored.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Shiro Goto, Ryo Takahashi, Naoyuki Matsuoka,