Rings characterized by direct sums of cs modules |
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| Authors: | Dinh Van Huynh SK Jain SR López-Permouth |
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| Institution: | 1. Institute of Mathematics , P.O.Box 631, Boho, Hanoi, Vietnam;2. Department of Mathematics , Ohio University , Athens, OH, 45701, USA |
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| Abstract: | It is shown that a ring for which every CS right module is ∑CS is right artinian. As a consequence, it is also shown that over a ring R every direct sum of CS right R-modules is CS iff R is right artinian and the composition length of every uniform right R-module is at most 2. |
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