Comparing complexities of pairs of modules

2009/11/24 by Dao, Hailong, Veliche, Oana · 1 citation
#Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.0911.4543

Abstract

Let R be a local ring and M,N be finitely generated R-modules. The complexity of (M,N), denoted by \cxx RMN, measures the polynomial growth rate of the number of generators of the modules \Ext nRMN. In this paper we study several basic equalities and inequalities involving complexities of different pairs of modules.

Cited by

• Complexity and curvature of pairs of Burch modules and ideals

Related

• Complexity test modules
• Regularity and linearity defect of modules over local rings
• Note on length and multiplicity of modules over two-dimensional regular local rings
• Complexity and curvature of (pairs of) Cohen-Macaulay modules, and their applications
• Bounds for numbers of generators for a class of submodules of a finitely generated module