Almost Split Sequences in Dimension One |
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Authors: | Wolfgang Rump |
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Affiliation: | 1. Institute for Algebra and Number Theory , University of Stuttgart , Stuttgart, Germany rump@mathematik.uni-stuttgart.de |
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Abstract: | Let R be a complete discrete valuation ring with quotient field K, and let Λ be an R-order in a semisimple K-algebra. For an indecomposable Λ-lattice E, a sublattice Bi E satisfying Rad E ? Bi E is defined, and it is shown that the middle term H of an almost split sequence τE ? H ? E can be obtained by an amalgamation of E/Bi E with E′/τE for a suitable overlattice E′ of τE. The method is bound to dim R = 1. |
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Keywords: | Almost split sequence Cohen–Macaulay order |
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