Comparing complexities of pairs of modules
classification
🧮 math.AC
keywords
modulescomplexitiespairsbasiccomparingcomplexitydenoteddifferent
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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.
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