Regularity of the Rees Modules and the Associated Graded Modules

Authors

  • Naser Zamani

Keywords:

associated graded rings and modules, graded local cohomology, reduction number of an ideal with respect to a module, filter regular sequence.

Abstract

Let A be a Noetherian ring and let b be an ideal of A. Let E be a
finitely generated A-module. It is shown that there is a close relationship between
the cohomological invariants of the associated graded module of E with respect
to b and the Rees module of E associated to b. Also a formula for the regularity
of the Rees module of E associated to b will be given.

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Published

2014-11-04

Issue

Vol. 7 No. 4: (October 2014)

Section

Industrial and Managerial Mathematics

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How to Cite

Regularity of the Rees Modules and the Associated Graded Modules. (2014). European Journal of Pure and Applied Mathematics, 7(4), 429-436. https://www.ejpam.com/index.php/ejpam/article/view/2291