Notes on C-graded modules over an affine semigroup ring K[C]
| dc.creator | Yanagawa, Kohji | |
| dc.date | 2005-06-22 | |
| dc.date | 2006-05-18 | |
| dc.date.accessioned | 2026-07-07T06:42:30Z | |
| dc.date.available | 2026-07-07T06:42:30Z | |
| dc.description | Let $C \subset {\bf N}^d$ be an affine semigroup, and $R=K[C]$ its semigroup ring. This paper is a collection of various results on "$C$-graded" $R$-modules, especially, monomial ideals. For example, we show the following: If $R$ is normal and $I$ is a radical monomial ideal (i.e., $R/I$ is a generalization of Stanley-Reisner rings), then the sequentially Cohen-Macaulay property of $R/I$ is a topological property of the "geometric realization" of the cell complex associated with $I$. Moreover, we can give a squarefree modules/constructible sheaves version of this result. | |
| dc.description | LARGELY revised version. Sections 4, 5 and most of section 3 are new. 23 pages | |
| dc.identifier | https://arxiv.org/abs/math/0506457 | |
| dc.identifier | http://arxiv.org/abs/math/0506457 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/102064 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13D02; 13H10, 13F55, 13D45 | |
| dc.title | Notes on C-graded modules over an affine semigroup ring K[C] | |
| dc.type | text |