All Modules Have Gorenstein Flat Precovers

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Gorenstein flat and Gorenstein injective dimensions of simple modules

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gorenstein flat and gorenstein injective dimensions of simple modules

let r be a right gf-closed ring with finite left and right gorenstein global dimension. we prove that if i is an ideal of r such that r/i is a semi-simple ring, then the gorensntein flat dimensnion of r/i as a right r-module and the gorensntein injective dimensnnion of r/i as a left r-module are identical. in particular, we show that for a simple module s over a commutative gorensntein ring r, ...

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ژورنال

عنوان ژورنال: Communications in Algebra

سال: 2014

ISSN: 0092-7872,1532-4125

DOI: 10.1080/00927872.2013.780064