Large lattices over orders

• Autores: Wolfgang Rump
• Localización: Proceedings of the London Mathematical Society, ISSN 0024-6115, Vol. 91, Nº 1, 2005, págs. 105-128
• Idioma: inglés
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• Resumen

  • 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.