A refinement of Gorenstein flat dimension via the flat-cotorsion theory

doi:10.1016/j.jalgebra.2020.09.024

	A refinement of Gorenstein flat dimension via the flat-cotorsion theory
	Christensen, Lars Winther 1; Estrada, Sergio 2; Liang, Li 3; Thompson, Peder 4; Wu, Dejun5 ; Yang, Gang 3
	2021-02-01
发表期刊	JOURNAL OF ALGEBRA
ISSN	0021-8693
卷号	567 页码:346-370
摘要	We introduce a refinement of the Gorenstein flat dimension for complexes over an associative ring-the Gorenstein flat-cotorsion dimension-and prove that it, unlike the Gorenstein flat dimension, behaves as one expects of a homological dimension without extra assumptions on the ring. Crucially, we show that it coincides with the Gorenstein flat dimension for complexes where the latter is finite, and for complexes over right coherent rings the setting where the Gorenstein flat dimension is known to behave as expected. (C) 2020 Elsevier Inc. All rights reserved.
关键词	Flat-cotorsion module Gorenstein flat dimension Gorenstein flat-cotorsion dimension
DOI	10.1016/j.jalgebra.2020.09.024
收录类别	SCIE
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000590242700016
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
来源库	WOS
引用统计	被引频次：9[WOS] [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/155022
专题	兰州理工大学
通讯作者	Liang, Li
作者单位	1.Texas Tech Univ, Lubbock, TX 79409 USA; 2.Univ Murcia, Murcia 30100, Spain; 3.Lanzhou Jiaotong Univ, Lanzhou 730070, Peoples R China; 4.Norwegian Univ Sci & Technol, N-7491 Trondheim, Norway; 5.Lanzhou Univ Technol, Lanzhou 730050, Peoples R China
推荐引用方式 GB/T 7714	Christensen, Lars Winther,Estrada, Sergio,Liang, Li,et al. A refinement of Gorenstein flat dimension via the flat-cotorsion theory[J]. JOURNAL OF ALGEBRA,2021,567:346-370.
APA	Christensen, Lars Winther,Estrada, Sergio,Liang, Li,Thompson, Peder,Wu, Dejun,&Yang, Gang.(2021).A refinement of Gorenstein flat dimension via the flat-cotorsion theory.JOURNAL OF ALGEBRA,567,346-370.
MLA	Christensen, Lars Winther,et al."A refinement of Gorenstein flat dimension via the flat-cotorsion theory".JOURNAL OF ALGEBRA 567(2021):346-370.