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Large lattices over orders

Published online by Cambridge University Press:  22 June 2005

Wolfgang Rump
Wolfgang Rump
Affiliation:
Institut für Algebra und Zahlentheorie, Universität Stuttgart, Pfaffenwaldring 57, D–70550 Stuttgart, Germany. E-mail: rump@mathematik.uni-stuttgart.de
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Abstract

Let $K$ be the quotient field of a Dedekind domain $R$. We characterize the $R$-orders $\Lambda$ in a separable $K$-algebra for which every $R$-projective $\Lambda$-module decomposes into $\Lambda$-lattices. Butler, Campbell and Kovács have recently shown that the latter holds for the integral group ring of a cyclic group of prime order, as well as for lattice-finite orders over a complete discrete valuation domain.

Keywords

large latticedecompositionlattice-finitehypergraph16H0516G30 (primary)05C65 (secondary)
Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 91 , Issue 1 , July 2005 , pp. 105 - 128
Copyright
2005 London Mathematical Society

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