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Modules arising from some relative injectives

Published online by Cambridge University Press:  17 April 2009

Yiqiang Zhou
Affiliation:
Department of MathematicsUniversity of British ColumbiaVancouver BCCanada V6T 1Z2
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Abstract

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A ring R is a right SI-ring if every singular right R-module is injective, while R is a right S3I-ring if every singular semisimple right R-module is injective. In this paper, we investigate and characterise several analogues of the two notions to modules, with many illustrative examples included.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1996

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