Uniform Behaviour of the Frobenius closures of ideals generated by regular sequences
| dc.creator | Katzman, Mordechai | |
| dc.creator | Sharp, Rodney Y. | |
| dc.date | 2005-01-28 | |
| dc.date.accessioned | 2026-07-07T05:16:28Z | |
| dc.date.available | 2026-07-07T05:16:28Z | |
| dc.description | This paper is concerned with ideals in a commutative Noetherian ring $R$ of prime characteristic. The main purpose is to show that the Frobenius closures of certain ideals of $R$ generated by regular sequences exhibit a desirable type of `uniform' behaviour. The principal technical tool used is a result, proved by R. Hartshorne and R. Speiser in the case where $R$ is local and contains its residue field which is perfect, and subsequently extended to all local rings of prime characteristic by G. Lyubeznik, about a left module over the skew polynomial ring $R[x,f]$ (associated to $R$ and the Frobenius homomorphism $f$, in the indeterminate $x$) that is both $x$-torsion and Artinian over $R$. | |
| dc.description | Accepted for publication in the Journal of Algebra | |
| dc.identifier | https://arxiv.org/abs/math/0501501 | |
| dc.identifier | http://arxiv.org/abs/math/0501501 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73998 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13A35; 13A15; 13E05; 13H10; 16S36 | |
| dc.title | Uniform Behaviour of the Frobenius closures of ideals generated by regular sequences | |
| dc.type | text |