Direct-sum cancellation of submodule systems

DOI10.1016/0024-3795(91)90102-3zbMath0748.16003OpenAlexW2010843089WikidataQ127363878 ScholiaQ127363878MaRDI QIDQ1177241

Lawrence S. Levy

Publication date: 26 June 1992

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(91)90102-3

zbMATH Keywords

Krull dimensionNoetherian ringdirect-sum cancellationcategory of \(n\)- submodule systemsfinitely generated left \(\Omega\)-modulemodule-finite algebra

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items (2)

Cancellation of finite-dimensional Noetherian modules ⋮ Examples of the failure of the local-global principle for similarity of matrices

Cites Work

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• The genus of a module. II: Roiter's theorem, power cancellation and extension of scalars
• Presentations of modules when ideals need not be principal
• Projective modules over group rings and maximal orders
• Module equivalences: Local to global. When primitive polynomials represent units
• Cancellation and direct summands in dimension 1
• Algebras over zero-dimensional rings
• On four subspaces of a vector space
• Endomorphism algebras of vector spaces with distinguished sets of subspaces
• Similarity of nilpotent, integer matrices, or, four elementary categories
• On Diagrams of Vector Spaces

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