比较模块对的复杂性
Comparing complexities of pairs of modules
摘要：
设$R$是一个局部环，$M,N$是由$R$ -模生成的.用$\cxx RMN$表示的$(M,N)$的复杂度度量了模块$\Ext nRMN$的生成器数量的多项式增长率。本文研究了涉及不同模对复杂性的几个基本等式和不等式。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
