MATSUOKA Naoyuki
Department Undergraduate School , School of Science and Technology Position Professor |
|
Language | English |
Publication Date | 2008/05 |
Type | Academic Journal |
Peer Review | Peer reviewed |
Title | Quasi-socle ideals in a Gorenstein local ring |
Contribution Type | Co-authored (Other) |
Journal | Journal of Pure and Applied Algebra |
Journal Type | Another Country |
Volume, Issue, Page | 212,pp.969-980 |
Author and coauthor | Shiro Goto, Ryo Takahashi, Naoyuki Matsuoka |
Details | This paper explores the structure of quasi-socle ideals I = Q : m2 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 problems as to when Q is a reduction of I and when the associated graded ring G (I) = {N-ary circled plus operator}n ≥ 0 In / In + 1 is Cohen-Macaulay. Wild examples are explored. © 2007 Elsevier Ltd. All rights reserved. |
DOI | 10.1016/j.jpaa.2007.07.018 |
ISSN | 00224049 |
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