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Noncommutative rings
whose cyclic modules have cyclic injective hulls
Barbara Osofsky |
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Vol. 25 (1968), No. 2, 331–340
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Abstract |
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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
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Milestones
Received: 18 January 1967
Published: 1 May 1968
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Authors |
| Barbara Osofsky | |
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