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- Title
Rees Modules and Reduction of an Ideal Relative to a Noetherian Module.
- Authors
Zamani, Naser; Tang, Zhongming
- Abstract
Let (A, 픪) be a Noetherian local ring, E a non-zero finitely generated A-module, and 픟 a proper ideal of A. The aim of this paper is, under some assumptions on픟 and E, to clarify a necessary and sufficient condition for the Rees module of E associated to 픟 to obtain Cohen-Macaulayness. Also, among other independent results about the reduction number of 픟 relative to E, we expand a theorem of Marley.
- Subjects
MODULES (Algebra); NOETHERIAN rings; IDEALS (Algebra); HOMOLOGY theory; MATHEMATICAL sequences; ALGEBRAIC fields; ALGEBRAIC topology
- Publication
Algebra Colloquium, 2011, Vol 18, p739
- ISSN
1005-3867
- Publication type
Article
- DOI
10.1142/S1005386711000617