Quasi-socle ideals in Gorenstein numerical semigroup rings
| dc.creator | Goto, Shiro | |
| dc.creator | Kimura, Satoru | |
| dc.creator | Matsuoka, Naoyuki | |
| dc.date | 2007-10-06 | |
| dc.date | 2008-01-17 | |
| dc.date.accessioned | 2026-07-07T08:54:44Z | |
| dc.date.available | 2026-07-07T08:54:44Z | |
| dc.description | Quasi-socle ideals, that is the ideals $I$ of the form $I= Q : \mathfrak{m}^q$ in Gorenstein numerical semigroup rings over fields are explored, where $Q$ is a parameter ideal, and $\mathfrak{m}$ is the maximal ideal in the base local ring, and $q \geq 1$ is an integer. The problems of when $I$ is integral over $Q$ and of when the associated graded ring $\mathrm{G}(I) = \bigoplus_{n \geq 0}I^n/I^{n+1}$ of $I$ is Cohen-Macaulay are studied. The problems are rather wild; examples are given. | |
| dc.description | 20 pages, to appear in Journal of Algebra | |
| dc.identifier | https://arxiv.org/abs/0710.1386 | |
| dc.identifier | http://arxiv.org/abs/0710.1386 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/146045 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13H10, 13A30, 13B22, 13H15 | |
| dc.title | Quasi-socle ideals in Gorenstein numerical semigroup rings | |
| dc.type | text |