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Hypercyclic rings
William Howard Caldwell |
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Vol. 24 (1968), No. 1, 29–44
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Abstract |
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The object of this paper is to provide characterizations for certain rings R having the property that each cyclic right R-module has a cyclic injective hull.1 Such rings will be called hypercyclic. Characterizations for left perfect hypercyclic rings and commutative hypercyclic rings are given in terms of their ideal structure and self-injectivity. An example of a commutative hypercyclic ring without chain conditions is given to demonstrate that the characterization obtained is nontrivial. |
Mathematical Subject Classification
Primary: 16.50
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Milestones
Received: 8 December 1966
Published: 1 January 1968
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Authors |
| William Howard Caldwell | |
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