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HOMOLOGY THEORIES FOR COMPLEXES BASED ON FLATS

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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.… Click to show full abstract

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.

Keywords: theories complexes; based flats; homology; complexes based; homology theories

Journal Title: Glasgow Mathematical Journal
Year Published: 2019

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