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

doi:10.1016/j.jalgebra.2020924

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	A refinement of Gorenstein flat dimension via the flat-cotorsion theory
	Christensen, Lars Winther 5; Estrada, Sergio 2; Liang, Li 3; Thompson, Peder 4; Wu, Dejun 1; Yang, Gang 3
刊名	JOURNAL OF ALGEBRA
	2021-02-01
卷号	567 页码:346-370
关键词	MODEL STRUCTURE
ISSN号	0021-8693
DOI	10.1016/j.jalgebra.2020924
英文摘要	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.
WOS研究方向	Mathematics
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000590242700016
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/147313]
专题	兰州理工大学
通讯作者	Liang, Li
作者单位	1.Lanzhou Univ Technol, Lanzhou 730050, Peoples R China 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.Texas Tech Univ, Lubbock, TX 79409 USA;
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.