Injectives containihg no proper quasi-injective submodules |
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Authors: | Ann K Boyle |
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Institution: | University of Wisconsin-Milwaukee , |
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Abstract: | Let Q be a uniform quasi-injective right R-module Then Q has no proper quasi-injective submodules ≠ 0 if and only if every cyclic submodule is strongly prime. For certain rings a stronger condition is shown to hold, namely that every cyclic submodule is compressible. |
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