MATSUOKA Naoyuki
Department Undergraduate School , School of Science and Technology Position Associate Professor |
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Language | English |
Publication Date | 2008/07 |
Type | Academic Journal |
Peer Review | Peer reviewed |
Title | Quasi-socle ideals in Gorenstein numerical semigroup rings |
Contribution Type | Co-authored (Other) |
Journal | Journal of Algebra |
Journal Type | Another Country |
Volume, Issue, Page | 320,pp.276-293 |
Author and coauthor | Shiro Goto, Satoru Kimura, Naoyuki Matsuoka |
Details | 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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