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Regular and semisimple
modules
T. J. Cheatham and J. R. Smith |
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Vol. 65 (1976), No. 2, 315–323
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Abstract |
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A module is regular if all its submodules are (Cohn) pure. The family of all regular modules is closed under products if and only if R∕J(R) is a von Neumann regular ring. If each regular R-module is semisimple then R is a T-ring. An extra condition is needed for the converse. Character modules and extensions of regular and semisimple modules are investigated. |
Mathematical Subject Classification
Primary: 16A64, 16A64
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Milestones
Received: 18 March 1974
Published: 1 August 1976
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Authors |
| T. J. Cheatham | |
| J. R. Smith | |
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