Local cohomology modules with infinite dimensional socles
| dc.creator | Marley, Thomas | |
| dc.creator | Vassilev, Janet C. | |
| dc.date | 2002-09-16 | |
| dc.date.accessioned | 2026-07-07T06:29:37Z | |
| dc.date.available | 2026-07-07T06:29:37Z | |
| dc.description | Let T be a commutative Noetherian local ring of dimension at least two and R=T[x_1,...,x_n] a polynomial ring in n variables over T. Consider R as a graded ring with deg T = 0 and deg x_i = 1 for all i. Let I=R_+ and f a homogeneous polynomial whose coefficients form a system of parameters for T. We show that the socle of H^n_I(R/fR) is infinite dimensional, generalizing an example due to Hartshorne. | |
| dc.description | 6 pages | |
| dc.identifier | https://arxiv.org/abs/math/0209196 | |
| dc.identifier | http://arxiv.org/abs/math/0209196 | |
| dc.identifier | Proc. American Math. Soc. 132 (2004), 3485-3490 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/98099 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13D45 | |
| dc.title | Local cohomology modules with infinite dimensional socles | |
| dc.type | text |