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 TypeAnother 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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