Almost fully decomposable infinite rank lattices over orders.

DOI10.1016/J.JPAA.2007.01.007zbMath1188.16012OpenAlexW2027938920MaRDI QIDQ995597

Wolfgang Rump

Publication date: 3 September 2007

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2007.01.007

zbMATH Keywords

ordersdecompositionsDedekind domainsgeneralized latticesindecomposable latticesalmost fully decomposable latticeslarge lattices

Mathematics Subject Classification ID

Representations of orders, lattices, algebras over commutative rings (16G30) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Lattices over orders (16H20)

Cites Work

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• On infinite rank integral representations of groups and orders of finite lattice type.
• Existence of maximal orders
• Triads.
• Large indecomposables over representation-infinite orders and algebras.
• Relative homological algebra
• Modules with decompositions that complement direct summands
• Note on extensions of Abelian groups by primary groups
• Symmetries of Kirchberg Algebras
• Large lattices over orders
• Elementarteilertheorie ?ber Maximalordnungen.

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