Omega-Gorenstein Modules over Formal Triangular Matrix Rings

doi:10.1007/s40840-021-01169-w

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	Omega-Gorenstein Modules over Formal Triangular Matrix Rings
	Wu, Dejun; Yi, Chengang
刊名	BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY
	2021-08
卷号	44 期号:6 页码:4357-4366
关键词	Triangular matrix ring W-Gorenstein module Adjoint pair Acyclic complex
ISSN号	0126-6705
DOI	10.1007/s40840-021-01169-w
英文摘要	Let A and B be rings andU a (B, A)-bimodule. Under some conditions, Omega-Gorenstein module over the formal triangular matrix ring T = (A 0 U B) is explicitly described, where Omega is a class of left T-modules. As an application, it is shown that if U-B has finite projective dimension and UA has finite flat dimension, then M = (M1 M2)(phi M) is a Gorenstein projective left T-module if and only if M-1 is aGorenstein projective left Amodule, Coker(.M) is a Gorenstein projective left B-module and.M : U. A M-1. M-2 is a monomorphism. This statement covers an earlier result of Enochs, CortesIzurdiaga and Torrecillas in this direction.
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGERNATURE
WOS记录号	WOS:000681525100001
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/148634]
专题	兰州理工大学
作者单位	Lanzhou Univ Technol, Dept Appl Math, Lanzhou, Peoples R China
推荐引用方式 GB/T 7714	Wu, Dejun,Yi, Chengang. Omega-Gorenstein Modules over Formal Triangular Matrix Rings[J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY,2021,44(6):4357-4366.
APA	Wu, Dejun,&Yi, Chengang.(2021).Omega-Gorenstein Modules over Formal Triangular Matrix Rings.BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY,44(6),4357-4366.
MLA	Wu, Dejun,et al."Omega-Gorenstein Modules over Formal Triangular Matrix Rings".BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY 44.6(2021):4357-4366.