弱Gorenstein投射、内射和平坦复形
Weak Gorenstein Projective, Injective and Flat Complexes
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。
Abstract:
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.
参考文献
|
[1]
|
Enochs, E.E. and Jenda, O.M.G. (1995) Gorenstein Injective and Projective Modules. Mathematische Zeitschrift, 220, 611-633. [Google Scholar] [CrossRef]
|
|
[2]
|
Enochs, E.E. and Garcia Rozas, J.R. (1998) Gorenstein Injec-tive and Projective Complexes. Communications in Algebra, 26, 1657-1674. [Google Scholar] [CrossRef]
|
|
[3]
|
Gao, Z.H. (2012) Weak Gorenstein Projective, Injective and Flat Modules. Journal of Algebra and Its Applications, 12, Article ID: 1250165. [Google Scholar] [CrossRef]
|
|
[4]
|
Yang, X.Y. and Liu, Z.K. (2011) Gorenstein Projective, Injec-tive and Flat Complexes. Communications in Algebra, 39, 1705-1721. [Google Scholar] [CrossRef]
|
|
[5]
|
Rotman, J.J. (1979) An Introduction to Homological Algebra. Academic Press, New York, 30-60.
|
|
[6]
|
Holm, H. (2004) Gorenstein Homological Dimension. Journal of Pure and Applied Algebra, 189, 167-193. [Google Scholar] [CrossRef]
|