A Bass equality for Gorenstein injective dimension of modules finite over homomorphisms

doi:10.1007/s00013-019-01346-1

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	A Bass equality for Gorenstein injective dimension of modules finite over homomorphisms
	Christensen, Lars Winther 2; Wu, Dejun 1
刊名	ARCHIV DER MATHEMATIK
	2019-11
卷号	113 期号:5 页码:459-467
关键词	Gorenstein injective dimension Module finite over homomorphism
ISSN号	0003-889X
DOI	10.1007/s00013-019-01346-1
英文摘要	Let R -> S\be a local ring homomorphism and N a finitely generated S-module. We prove that if the Gorenstein injective dimension of N over R is finite, then it equals the depth of R.
资助项目	NSF of China[11761047] ; NSF of China[11861043]
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER BASEL AG
WOS记录号	WOS:000490019900002
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/31491]
专题	兰州理工大学材料科学与工程学院
通讯作者	Christensen, Lars Winther
作者单位	1.Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China 2.Texas Tech Univ, Dept Math & Stat, Lubbock, TX 79409 USA
推荐引用方式 GB/T 7714	Christensen, Lars Winther,Wu, Dejun. A Bass equality for Gorenstein injective dimension of modules finite over homomorphisms[J]. ARCHIV DER MATHEMATIK,2019,113(5):459-467.
APA	Christensen, Lars Winther,&Wu, Dejun.(2019).A Bass equality for Gorenstein injective dimension of modules finite over homomorphisms.ARCHIV DER MATHEMATIK,113(5),459-467.
MLA	Christensen, Lars Winther,et al."A Bass equality for Gorenstein injective dimension of modules finite over homomorphisms".ARCHIV DER MATHEMATIK 113.5(2019):459-467.