典型文献
(x)-Gorenstein Projective Dimensions
文献摘要：
In this paper,we mainly investigate the(x)-Gorenstein projective dimension of modules and the(left)(x)-Gorenstein global dimension of rings.Some properties of(x)-Gorenstein projective dimensions are obtained.Furthermore,we prove that the(left)(x)-Gorenstein global dimension of a ring R is equal to the supremum of the set of(x)-Gorenstein projective dimensions of all cyclic(left)R-modules.This result extends the well-known Auslander's theorem on the global dimension and its Gorenstein ho-mological version.
文献关键词：
中图分类号：
作者姓名：
Jie Wang;Xiaowei Xu;Zhibing Zhao
作者机构：
Department of Basic Teaching,Anhui Sanlian University,Hefei 230601,China;School of Mathematical Sciences,Jilin University,Changchun 130012,China;School of Mathematical Sciences,Anhui University,Hefei 230601,China
文献出处：
引用格式：
[1]Jie Wang;Xiaowei Xu;Zhibing Zhao-.(x)-Gorenstein Projective Dimensions)[J].数学研究（英文）,2022(04):398-414
A类：
mological
B类：
Gorenstein,Projective,Dimensions,In,this,paper,mainly,investigate,projective,modules,left,global,rings,Some,properties,dimensions,are,obtained,Furthermore,prove,that,equal,supremum,set,all,cyclic,This,result,extends,well,known,Auslander,theorem,its,ho,version
AB值：
0.525853
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