Local orders whose lattices are direct sums of ideals
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Let R be a complete local Dedekind domain with quotient field K and let A be a local R-order in a separable K-algebra. This paper classifies those orders A such that every indecomposable R-torsionfree A-module is isomorphic to an ideal of A. These results extend to the noncommutative case some results for commutative rings found jointly by this author and L. Levy.
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