Vol. 25, No. 2, 1968

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Noncommutative rings whose cyclic modules have cyclic injective hulls

Barbara Osofsky

Vol. 25 (1968), No. 2, 331–340
Abstract

A ring R is called hypercyclic if every cyclic R-module has cyclic injective hull. If R is hypercyclic and R∕J artinian, then R is a ring direct sum of matrix rings over local hypercyclic rings. The structure of local hypercyclic rings is studied.

Mathematical Subject Classification
Primary: 16.50
Milestones
Received: 18 January 1967
Published: 1 May 1968
Authors
Barbara Osofsky