Cancellation of lattices and approximation properties of division algebras

DOI10.1215/KJM/1250518456zbMath0984.16016OpenAlexW1570052209MaRDI QIDQ1367065

Aiichi Yamasaki

Publication date: 6 March 2001

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250518456

zbMATH Keywords

ordersmaximal idealslatticesDedekind domains\(p\)-adic completionslocal direct summandscancellation propertiesRoiter-Jacobinski type divisibility theoremVaserstein groups

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) Units, groups of units (associative rings and algebras) (16U60)

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