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Restricted Perfect Group Rings
Authors:Dinesh Udar  J. B. Srivastava
Affiliation:Department of Mathematics, Indian Institute of Technology, New Delhi, India
Abstract:
A ring R is a restricted right perfect ring if every proper homomorphic image of R is right perfect. A complete characterization of restricted right perfect group rings RG has been obtained when the f.c. center of the group G is nontrivial. The f.c. center of a group G is the set of all elements of G that have finitely many conjugates in G.
Keywords:Almost perfect rings  Group rings  Restricted perfect rings
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