Ring characterizations on GIac- injective and GIac-flat modules

Abstract

Abstract: The concept of GI_ac-injective modules and GI_ac-flat modules , is introduced respectively, which is a class of modules between GI-injective modules (or GI-flat modules) and copure injective modules (or copure flat modules). Some classes of rings, such as semisimple rings, von Neumann regular rings, hereditary rings and semihereditary rings, are characterized in terms of these modules.

Key words: GI_ac-injective modules, GI_ac-flat modules, semisimple rings, von Neumann regular rings, (semi)hereditary rings

CLC Number:

O154

CHEN Dong. Ring characterizations on GI_ac- injective and GI_ac-flat modules[J]. Journal of Lanzhou University of Technology, 2021, 47(3): 156-161.

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Ring characterizations on GI_ac- injective and GI_ac-flat modules

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