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- Title
ON GENERALIZATIONS OF SEMIPERFECT AND PERFECT RINGS.
- Authors
Demirci, Y. Mehmet
- Abstract
We call a ring R right generalized semiperfect if every simple right R-module is an epimorphic image of a at right R-module with small kernel, that is, every simple right R-module has a at B-cover. We give some properties of such rings along with examples. We introduce at strong covers as at covers which are also at B-covers and give characterizations of A-perfect, B-perfect and perfect rings in terms of at strong covers.
- Subjects
ASSOCIATIVE rings; JACOBSON radical; VON Neumann regular rings; AUTOMORPHISM groups; ISOMORPHISM (Crystallography)
- Publication
Bulletin of the Iranian Mathematical Society, 2016, Vol 42, Issue 6, p1441
- ISSN
1018-6301
- Publication type
Article