Cohen factorizations and Gorenstein dimensions

doi:10.1080/00927872.2019.1710165

	Cohen factorizations and Gorenstein dimensions
	Wu, Dejun; Song, Mengyu; Wang, Yongduo
	2020-05-03
发表期刊	COMMUNICATIONS IN ALGEBRA
ISSN	0092-7872
卷号	48 期号:5 页码:1969-1981
摘要	Let be a local homomorphism and X a homologically finite S-complex. Iyengar and Sather-Wagstaff defined the G-dimension and projective dimension of X over by Cohen factorizations and Avramov, Iyengar, and Miller introduced the injective dimension of X over In this article, we define the Gorenstein injective dimension of X over The Bass equality for the Gorenstein injective dimension over local homomorphism is obtained, which generalizes a result of Christensen and Sather-Wagstaff. Some other known results are generalized. For instance, if is finite, then it is shown that This is analogous to a theorem of Holm.
关键词	Cohen factorization Gorenstein dimension local homomorphism
DOI	10.1080/00927872.2019.1710165
收录类别	SCI ; SCIE
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000526452400010
出版者	TAYLOR & FRANCIS INC
来源库	WOS
引用统计	被引频次[WOS]：0 [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://ir.lut.edu.cn/handle/2XXMBERH/64208
专题	材料科学与工程学院兰州理工大学
通讯作者	Wu, Dejun
作者单位	Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Peoples R China
第一作者单位	材料科学与工程学院
通讯作者单位	材料科学与工程学院
第一作者的第一单位	材料科学与工程学院
推荐引用方式 GB/T 7714	Wu, Dejun,Song, Mengyu,Wang, Yongduo. Cohen factorizations and Gorenstein dimensions[J]. COMMUNICATIONS IN ALGEBRA,2020,48(5):1969-1981.
APA	Wu, Dejun,Song, Mengyu,&Wang, Yongduo.(2020).Cohen factorizations and Gorenstein dimensions.COMMUNICATIONS IN ALGEBRA,48(5),1969-1981.
MLA	Wu, Dejun,et al."Cohen factorizations and Gorenstein dimensions".COMMUNICATIONS IN ALGEBRA 48.5(2020):1969-1981.