A tight closure analogue of analytic spread
| dc.creator | Epstein, Neil | |
| dc.date | 2004-06-09 | |
| dc.date.accessioned | 2026-07-07T06:17:58Z | |
| dc.date.available | 2026-07-07T06:17:58Z | |
| dc.description | An analogue of the theory of integral closure and reductions is developed for a more general class of closures, called Nakayama closures. It is shown that tight closure is a Nakayama closure by proving a ``Nakayama lemma for tight closure''. Then, after strengthening A. Vraciu's theory of $*$-independence and the special part of tight closure, it is shown that all minimal $*$-reductions of an ideal in an analytically irreducible excellent local ring of positive characteristic have the same minimal number of generators. This number is called the $*$-spread of the ideal, by analogy with the notion of analytic spread. | |
| dc.description | 16 pages | |
| dc.identifier | https://arxiv.org/abs/math/0406160 | |
| dc.identifier | http://arxiv.org/abs/math/0406160 | |
| dc.identifier | Mathematical Proceedings of the Cambridge Philosophical Society, Volume 139, Issue 02, September 2005, pp 371-383 | |
| dc.identifier | doi:10.1017/S0305004105008546 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/94576 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13A35; 13B22 | |
| dc.title | A tight closure analogue of analytic spread | |
| dc.type | text |