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MATSUOKA Naoyuki
Department Undergraduate School , School of Science and Technology Position Professor |
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| Language | English |
| Publication Date | 2009/01 |
| Type | Academic Journal |
| Title | Quasi-Socle ideals in local rings with Gorenstein tangent cones |
| Contribution Type | Co-authored (Other) |
| Journal | Journal of Commutative Algebra |
| Journal Type | Another Country |
| Volume, Issue, Page | 1,pp.603-620 |
| Author and coauthor | Shiro Goto, Satoru Kimura, Tran Thi Phuong, Naoyuki Matsuoka |
| Details | 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 |
| PermalinkURL | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=78751605262&origin=inward |