Notes on Gorenstein Flat Modules View Full Text


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Article Info

DATE

2018-10-15

AUTHORS

Yanjiong Yang, Xiaoguang Yan

ABSTRACT

In this paper, we explore conditions under which Gorenstein flat modules are Gorenstein projective. We prove that all countably presented strongly Gorenstein flat modules are Gorenstein projective over perfect rings. Moreover, we show that if the base ring R is ∑-pure injective as an R-module, then the class of Gorenstein flat modules coincides with the class of Gorenstein projective modules, and hence all modules have Gorenstein projective covers. And as a corollary, we give a characterization of coherent perfect rings by Gorenstein projective and Gorenstein flat modules. More... »

PAGES

1-8

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URI

http://scigraph.springernature.com/pub.10.1007/s41980-018-0135-5

DOI

http://dx.doi.org/10.1007/s41980-018-0135-5

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https://app.dimensions.ai/details/publication/pub.1107645880


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