Applications of linear functionals to Kronecker modules. I

DOI10.1016/0024-3795(86)90221-1zbMath0591.16011OpenAlexW2033073585MaRDI QIDQ1074696

Frank Okoh

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0024-3795(86)90221-1

zbMATH Keywords

linear functionalsheight functionsdirect sum of rank-one modulesKrull-Schmidt-type theoremmodule of rational functionspurely simple Kronecker modules

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Other classes of modules and ideals in associative algebras (16D80) Representation theory of associative rings and algebras (16Gxx)

Related Items (6)

Rational functions and kronecker modules ⋮ Linear functionals and infinite dimensional ⋮ Strongly irreducible operators and indecomposable representations of quivers on infinite-dimensional Hilbert spaces ⋮ A criterion for pure simplicity ⋮ Infinite dimensional representations of ⋮ Applications of linear functionals to Kronecker modules. II

Cites Work

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• Indecomposable Rank Two Modules over Some Artinian Ring
• Grothendieck Groups and Exact Sequences for Hereditary Artin Algebras
• Algebraic compactness of reduced products and applications to pure global dimension
• A Bound on the Rank of Purely Simple Systems
• Algebraic spectral problems
• On Algebraic Equivalence Between Pairs of Linear Transformations

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