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On Morita duality

Published online by Cambridge University Press:  17 April 2009

Weimin Xue
Weimin Xue
Affiliation:
Department of Mathematics, Fujian Normal University, Fuzhou, Fijian 350007, People's Republic of China
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Abstract

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Modules whose nonzero endomorphisms are epimorphisms and modules whose nonzero endomorphisms are monomorphisms are considered in this paper. We prove that these two classes of modules are dual to each other via Morita duality. We also prove that a left artinian ring R with Jacobson radical J has a Morita duality if either (1) J/J2 is a central bimodule; or (2) R is artinian right duo and R/J is commutative.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 49 , Issue 1 , February 1994 , pp. 35 - 46
Copyright
Copyright © Australian Mathematical Society 1994

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