Flat Strong δ-covers of Modules

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:68 Issue:1
Flat Strong δ-covers of Modules

Flat Strong δ-covers of Modules

Authors : Yılmaz Mehmet DEMİRCİ

Pages : 43-52

Doi:10.31801/cfsuasmas.443540

View : 9 | Download : 9

Publication Date : 2019-02-01

Article Type : Research Paper

Abstract :We say that a ring R is right generalized δ-semiperfect if every simple right R-module is an epimorphic image of a flat right R-module with δ-small kernel. This definition gives a generalization of both right δ-semiperfect rings and right generalized semiperfect rings. We provide examples involving such rings along with some of their properties. We introduce flat strong δ-cover of a module as a flat cover which is also a flat δ-cover and use flat strong δ-covers in characterizing right A-perfect rings, right B-perfect rings and right perfect rings.
Keywords : Flat cover, flat δ cover, flat strong δ cover, G δ semiperfect ring, semiperfect ring, perfect ring

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