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The characterization problem for endomorphism rings

Published online by Cambridge University Press:  09 April 2009

J. L. García
J. L. García
Affiliation:
Universidad de Murcia30001 Murcia, Spain
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Abstract

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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).

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 50 , Issue 1 , February 1991 , pp. 116 - 137
Copyright
Copyright © Australian Mathematical Society 1991

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