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	2009/01
形態種別	学術雑誌
標題	Quasi-Socle ideals in local rings with Gorenstein tangent cones
執筆形態	共著(その他)
掲載誌名	Journal of Commutative Algebra
掲載区分	国外
巻・号・頁	1,pp.603-620
著者・共著者	Shiro Goto, Satoru Kimura, Tran Thi Phuong, Naoyuki Matsuoka
概要	Quasi-soclc ideals, that is, the ideals I of the form I = Q: m^q in a Noetherian local ring (A, m) with the Gorenstein tangent cone G(m) are explored, where q ≥ 1 is an integer and Q is a parameter ideal of A generated by monomials of a system x_1, x_2,..., x_d of elements in A such that (x1, x2,..., xd)is a reduction of m. The questions of when I is integral over Q and of when the graded rings G(I) and F (I) are Cohen-Macaulay are answered. Criteria for G(I) and R(I) to be Gorenstein rings are given. © 2009, Rocky Mountain Mathematics Consortium. All rights reserved.
DOI	10.1216/JCA-2009-1-4-603
ISSN	19390807
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