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A
note on two generalizations of QF
− 3
Charles Irvin Vinsonhaler |
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Vol. 40 (1972), No. 1, 229–233
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Abstract |
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If M is an R-module, then the dual of M is defined to be HomR(M,R). Artinian QF-3 rings R have been characterized by the following two properties: (1) The class of R-modules with zero duals is closed under taking submodules. (2) The class of torsionless R-modules is closed under extension. These properties are independent and, in the present paper, we study the two classes of rings R which satisfy each of these conditions separately. |
Mathematical Subject Classification
Primary: 16A36
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Milestones
Received: 27 January 1970
Published: 1 January 1972
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Authors |
| Charles Irvin Vinsonhaler | |
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