The genus of a module. II: Roiter's theorem, power cancellation and extension of scalars

DOI10.1016/0022-314X(87)90075-8zbMath0621.16007MaRDI QIDQ1090391

Robert M. Guralnick

Publication date: 1987

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

cancellationordermaximal orderseparable algebraextension of scalarsJordan-Zassenhaus theoremfinitely generated left \(\Lambda \)-modulesleft \(\Lambda \)-latticesrestricted generaRoiter's theorem

Mathematics Subject Classification ID

Other classes of modules and ideals in associative algebras (16D80) Divisibility, noncommutative UFDs (16U30) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Related Items

Torsion in class groups of modules over certain one-dimensional rings, Torsion in the Picard group and extension of scalars, Direct-sum cancellation: Modules versus lattices¹, Separative cancellation and multiple isomorphism in torsion-free Abelian groups, Direct-sum cancellation of submodule systems, Cancellation and direct summands in dimension 1, Genus and cancellation, On Invertible Bimodules and Automorphisms of Noncommutative Rings, Criteria for direct-sum cancellation, with an application to negative quadratic orders, Direct sum cancellation for modules over one-dimensional rings, Presentations over HNP rings with enough invertible ideals and torsionfree cancellation over neoclassical orders, Picard groups and infinite matrix rings, The Jordan-Zassenhaus theorem and direct decompositions

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