广义局部上同调模的消去性
Journal of Sichuan Normal University(Natural Science)(2015)
Abstract
在交换Noether环R中引进一种新的模类——广义k-上合冲模类.证明当i充分大后,相对于R的一个理想α的广义局部上同调模Hiα(M,N)等于零,其中M是具有有限投射维数的有限生成模,N是一个广义k-上合冲模.作为应用,给出Gorenstein环的一种新刻画.
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Key words
generalized k-cosyzygy module,generalized local cohomology module,Gorenstein injective module
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