@article {
author = {Xu, A. and Yan, X.},
title = {Gorenstein flat and Gorenstein injective dimensions of simple modules},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {39},
number = {2},
pages = {281-287},
year = {2013},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {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, the Gorenstein flat dimension of S equals to the Gorenstein injective dimension of S.},
keywords = {Gorenstein flat dimension,Gorenstein injective dimension,simple module},
url = {http://bims.iranjournals.ir/article_413.html},
eprint = {http://bims.iranjournals.ir/article_413_0c2096907897563917352df573b7123b.pdf}
}