Regularity of the Rees Modules and the Associated Graded Modules

Naser Zamani

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.

Keywords

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

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