摘要
本文将弱Gorenstein投射、内射和平坦模的概念推广到复形范畴。首先给出了弱Gorenstein投射、内射和平坦复形的定义;其次在n-Gorenstein环上讨论了弱Gorenstein投射与内射复形;最后给出了一些弱Gorenstein平坦复形的简单性质。
In this article, we extend the notion of weak Gorenstein projective, injective and flat modules to the complex category. Firstly, the definition of weak Gorenstein projective, injective and flat complex is given;and then, the weak Gorenstein projective and injective complex is discussed in n-Goren- stein ring. Finally, the simple properties of weak Gorenstein flat complex are given.
出处
《理论数学》
2021年第2期277-281,共5页
Pure Mathematics
