Comparing complexities of pairs of modules
Commutative Algebra
2009-11-25 v1
Abstract
Let be a local ring and be finitely generated -modules. The complexity of , denoted by , 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.
Keywords
Cite
@article{arxiv.0911.4543,
title = {Comparing complexities of pairs of modules},
author = {Hailong Dao and Oana Veliche},
journal= {arXiv preprint arXiv:0911.4543},
year = {2009}
}