摘要
设 W 是一个关于扩张封闭的自正交左 R-模类。 引入了右 (左) W-Gorenstein 复形的概念,证明了复形 M 是右 (左) W-Gorenstein复形当且仅当对任意的 n ∈ℤ, Mn 是右 (左) W-Gorenstein 模。 作为应用,由右 (左) W-Gorenstein 模的性质推得了右 (左) W-Gorenstein复形的一些性质。
Let W be a self-orthogonal class of left R-modules which is closed under extensions. In this article, the notion of right (left) W-Gorenstein complexes is introduced, and we show that a complex M is right (left) W-Gorenstein if and only if each Mn is right (left) W-Gorenstein module for any n ∈ Z. As applications, some properties of right (left) W-Gorenstein complexes are deduced from those of right (left) W-Gorenstein modules.
出处
《理论数学》
2021年第12期2003-2011,共9页
Pure Mathematics
