Localization and test exponents for tight closure
| dc.creator | Hochster, Melvin | |
| dc.creator | Huneke, Craig | |
| dc.date | 2002-11-11 | |
| dc.date.accessioned | 2026-07-07T04:52:50Z | |
| dc.date.available | 2026-07-07T04:52:50Z | |
| dc.description | In this paper we study various equivalent conditions for tight closure to commute with localization. If N is a submodule of a finitely generated module M over a Noetherian commutative ring of characteristic p, then a test exponent for c,N,M is defined to be a power q' of p such that u is in the tight closure of N in M whenever cu^q is in the qth Frobenius power of N for some q \ge q'. We prove that that a test exponent for a locally stable test element c and for N,M as above exists if and only if the tight closure of N in M commutes with localization. Other equivalent conditions are given for tight closure to commute with localization. | |
| dc.identifier | https://arxiv.org/abs/math/0211173 | |
| dc.identifier | http://arxiv.org/abs/math/0211173 | |
| dc.identifier | Michigan Math. J. 48 (2000), 305--329 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65615 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13A35 (13B30 13D40) | |
| dc.title | Localization and test exponents for tight closure | |
| dc.type | text |