Let $(R,\frak m)$ be a commutative Noetherian local ring and let $M$ and $N$be finitely generated $R$-modules of finite injective dimension and finiteGorenstein injective dimension, respectively. In this paper we prove ageneralization of Ischebeck Formula, that is $\depth_RM+\sup\{i|{0.1cm}\Ext_R^i(M,N)\neq 0\}=\depth R.$
展开▼
机译：令$（R，\ frak m）$为交换Noetherian局部环，并让$ M $和$ N $分别有限生成维数和有限Gorenstein内射维数的$ R $-模。本文证明了Ischebeck公式的一般化，即$ \ depth_RM + \ sup \ {i | {0.1cm} \ Ext_R ^ i（M，N）\ neq 0 \} = \ depth R. $
展开▼
