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MATSUOKA Naoyuki
Department Undergraduate School , School of Science and Technology Position 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 |
| PermalinkURL | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=43649104510&origin=inward |