Title of article
On generalizations of semiperfect and perfect rings
Author/Authors
Demirci ، Yilmaz Mehmet - Sinop University
Pages
10
From page
1441
To page
1450
Abstract
We call a ring R right generalized semiperfect if every simple right R-module is an epimorphic image of a flat right R-module with small kernel, that is, every simple right R-module has a flat B-cover. We give some properties of such rings along with examples. We introduce flat strong covers as flat covers which are also aflat B-covers and give characterizations of A-perfect, B-perfect and perfect rings in terms of flat strong covers.
Keywords
Flat cover , flat B , cover , flat strong cover , G , semiperfect ring , perfect ring
Journal title
Bulletin of the Iranian Mathematical Society
Serial Year
2016
Journal title
Bulletin of the Iranian Mathematical Society
Record number
2456003
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