マツオカ　ナオユキ   MATSUOKA Naoyuki   松岡　直之    所属   明治大学  理工学部    職種   専任教授
言語種別	英語
発行・発表の年月	2008/07
形態種別	学術雑誌
査読	査読あり
標題	Quasi-socle ideals in Gorenstein numerical semigroup rings
執筆形態	共著(その他)
掲載誌名	Journal of Algebra
掲載区分	国外
巻・号・頁	320,pp.276-293
著者・共著者	Shiro Goto, Satoru Kimura, Naoyuki Matsuoka
概要	Quasi-socle ideals, that is the ideals I of the form I = Q : mq in Gorenstein numerical semigroup rings over fields are explored, where Q is a parameter ideal, and m is the maximal ideal in the base local ring, and q ≥ 1 is an integer. The problems of when I is integral over Q and of when the associated graded ring G (I) = ⊕n ≥ 0 In / In + 1 of I is Cohen-Macaulay are studied. The problems are rather wild; examples are given. © 2008 Elsevier Inc. All rights reserved.
DOI	10.1016/j.jalgebra.2008.01.015
ISSN	00218693
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