Large indecomposables over representation-infinite orders and algebras |
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Authors: | Wolfgang Rump |
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Affiliation: | (1) Institut für Algebra und Zahlentheorie, Universität Stuttgart, Pfaffenwaldring 57, D-70550 Stuttgart, Germany |
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Abstract: | Let R be a complete discrete valuation domain with quotient field K, and let be an R-order in a semisimple K-algebra. Butler, Campbell, and Kovács have shown that R-free -modules decompose into -lattices when is representation-finite. Using the theory of ladder functors, we prove the converse by constructing indecomposable R-free -modules of infinite rank if is not representation-finite.Received: 23 March 2004 |
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Keywords: | Primary 16G30 16G60 |
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