Some asymptotic properties of the Rees powers of a module

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Let R be a commutative ring and let G be a free R-module with positive rank e. For any R-submodule E of G we may consider the image of the symmetric algebra of E by the natural map to the symmetric algebra of G, and then the graded components E_n of the image, that we call the n-th Rees powers of E. In this work we prove some asymptotic properties of the modules E_n, which extend well known similar ones for the case of ideals, among them Burch's inequality for the analytic spread.
13 pages

Keywords

Commutative Algebra, 13A30

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/72285

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0408351
 http://arxiv.org/abs/math/0408351

Collections

arXiv