A note on indecomposable modules |
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Authors: | S. Jondrup J. Krempa D. Niewieczerzal |
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Affiliation: | 1. K?benhauns Univ. Mat. Institut, Universitetsparken 5, 2100, K?benhaun ?, Danmark
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Abstract: | In this note we study rings having only a finite number of non isomorphic uniform modules with non zero socle. It is proved that a commutative ring with this property is a direct sum of a finite ring and a ring of finite representation type. In the non commutative case we show that most P.I. rings having only a finite number of non isomorphic modules with non zero socle are in fact artinian. |
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