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Rings in which every
right ideal is quasi-injective
Surender Kumar Jain, Saad H. Mohamed and Surjeet Singh |
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Vol. 31 (1969), No. 1, 73–79
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Abstract |
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It is well known that if every right ideal of a ring R is injective, then R is semi simple Artinian. The object of this paper is to initiate the study of a class of rings in which each right ideal is quasi-injective. Such rings will be called q-rings. It is shown by an example that a q-ring need not be even semi prime. A number of important properties of q-rings are obtained. |
Mathematical Subject Classification
Primary: 16.50
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Milestones
Received: 5 March 1969
Published: 1 October 1969
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Authors |
| Surender Kumar Jain | |
| Saad H. Mohamed | |
| Surjeet Singh | |
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