J Austral Math Soc Ser A 50 pp116--137, 1991.

The Characterization Problem for Endomorphism Rings

J. L. García

(Received 17 July 1989; revised 2 January 1990)

Abstract

We consider the problem of characterizing by abstract properties the rings which are isomorphic to the endomorphism ring End(RF) of some free module F over a ring R in a given class R of rings. We solve this problem when R is any class of rings (by employing topological notions) and when R is the class of all the left Kasch rings (in terms of algebraic properties only).

1980 AMS Subject Classification (1985 Revision): 16A65

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Authors

J. L. García
Universidad de Murcia, 30001 Murcia, Spain.

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