n-强W-Gorenstein分次模

n-strongly W-Gorenstein graded modules

设R是分次环,n是正整数,W是一个分次R-模的自正交类.引入了n-强W-Gorenstein分次模的概念,给出了n-强W-Gorenstein分次模的一些等价刻画,讨论了n-强W-Gorenstein分次模和m-强W-Gorenstein分次模的关系.

Let R be a graded ring,n a positive integer,and W a self-orthogonal class of graded R-modules.The notion of n-strongly W-Gorenstein graded modules is introduced.Some equivalent characterizations of n-strongly W-Gorenstein graded modules are given and the relation between n-strongly W-Gorenstein graded modules and m-strongly W-Gorenstein graded modules is discussed.