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Coherent rings and Gorenstein flat character modules

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Abstract A module is called a Gorenstein flat character module if its character module is Gorenstein flat. We give some characterizations of Gorenstein flat character modules and explore the relations… Click to show full abstract

Abstract A module is called a Gorenstein flat character module if its character module is Gorenstein flat. We give some characterizations of Gorenstein flat character modules and explore the relations between Gorenstein injective modules and Gorenstein flat character modules over coherent rings. Moreover, we give some new characterizations of Gorenstein injective modules and coherent rings with finite self-FP-injective dimensions.

Keywords: gorenstein flat; flat character; modules coherent; character modules; character; coherent rings

Journal Title: Communications in Algebra
Year Published: 2020

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