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On maxi-quasiprojective modules

Published online by Cambridge University Press:  09 April 2009

Manabu Harada
Manabu Harada
Affiliation:
Osaka City UniversitySumiyoshi-KuOsaka 558, Japan
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Abstract

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We have defined a mini-injective module and given some structures of self mini-injective rings and certain relationships between such rings and QF-rings in [8] and [9].

In this short note we shall study the modules dual to mini-injective modules, which we call maxi-quasiprojective modules. We shall give a characterization and some structures, in terms of the above modules, of those rings whose every injective modules has the lifting property of direct decompositions modulo the Jacobian radical (see [5], [6] and [7]). Furthermore, we shall show that the above rings are closely related to QF-rings (see [8] and [9]).

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 35 , Issue 3 , December 1983 , pp. 357 - 368
Copyright
Copyright © Australian Mathematical Society 1983

References

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