Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4587405 | Journal of Algebra | 2009 | 16 Pages |
Abstract
Let R be a local ring and M,N be finitely generated R-modules. The complexity of (M,N), denoted by cxR(M,N), measures the polynomial growth rate of the number of generators of the modules . In this paper we study several basic equalities and inequalities involving complexities of different pairs of modules.
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Physical Sciences and Engineering
Mathematics
Algebra and Number Theory