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HOMOLOGY THEORIES FOR COMPLEXES BASED ON FLATS

Part of: Homological algebra

Published online by Cambridge University Press:  02 December 2019

LI LIANG
LI LIANG*
Affiliation:
School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, China e-mail: lliangnju@gmail.com
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Abstract

In this paper, we introduce and study the Gorenstein relative homology theory for unbounded complexes of modules over arbitrary associative rings, which is defined using special Gorenstein flat precovers. We compare the Gorenstein relative homology to the Tate/unbounded homology and get some results that improve the known ones.

MSC classification

Primary: 18G15: Ext and Tor, generalizations, Künneth formula
Secondary: 18G25: Relative homological algebra, projective classes 18G35: Chain complexes
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 63 , Issue 1 , January 2021 , pp. 27 - 44
Copyright
© Glasgow Mathematical Journal Trust 2019

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