Indecomposable modules over right pure semisimple rings |
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| Authors: | Maher Zayed |
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| Affiliation: | 1. Départment de Mathématique et Informatique, Université de Bretagne Occidentale, 6, Avenue Victor Le Gorgeu, F-29287, Brest Cedex, France
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| Abstract: | The aim of this paper is to prove the following result. IfA is a right pure semisimple ring, then it satisfies one of the two following statements: - For any positive integern, there are at most finitely many indecomposable right modules of lengthn; or
- There is an infinite number of integersd such that, for eachd, A has infinitely many indecomposable right modules of lengthd.
The result is derived with the aid of ultraproduct-technique. |
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