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large lattice

Proceedings of the London Mathematical Society (1)

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Large lattices over orders
Wolfgang Rump
Journal:

Proceedings of the London Mathematical Society / Volume 91 / Issue 1 / July 2005

Published online by Cambridge University Press:

22 June 2005, pp. 105-128

Print publication:

July 2005
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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.