Vol. 31, No. 1, 1969

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Rings in which every right ideal is quasi-injective

Surender Kumar Jain, Saad H. Mohamed and Surjeet Singh

Vol. 31 (1969), No. 1, 73–79

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
Received: 5 March 1969
Published: 1 October 1969
Surender Kumar Jain
Saad H. Mohamed
Surjeet Singh