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A structure theorem for SI-Modules

Published online by Cambridge University Press:  18 May 2009

Dinh van Huynh
Affiliation:
Institute of Mathematics, P.O. Box 631, Hanoi, Vietnam
Robert Wisbauer
Affiliation:
Institute of Mathematics, Universitätsstr 1, 4000 Düsseldorf, Germany
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An associative ring R is called a left SI-ring if every singular left R-module is injective. In Goodearl [4] it is shown that these rings have a finite ring decomposition into a ring K with K/Soc K left semisimple, and simple rings which are Morita equivalent to left SI-domains.

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Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 1992