Extensions of modules characterized by finite sequences of linear functionals

DOI10.1216/rmjm/1181072906zbMath0804.16032OpenAlexW2019788957MaRDI QIDQ1331457

Frank Okoh, Fixman, Uri

Publication date: 16 January 1995

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072906

zbMATH Keywords

extensionslinear functionalsmatrix ringendomorphism ringfinite-dimensional torsion-free \(R\)-modulesindecomposable infinite-dimensional \(R\)- modulesnonsingular \(R\)-modulespair of \(K\)-vector spacesvector space of extensions

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) 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) Canonical forms, reductions, classification (15A21) Extensions of associative rings by ideals (16S70)

Related Items (3)

The realization of hyperelliptic curves through endomorphisms of Kronecker modules. ⋮ Commutative endomorphism algebras of torsion-free, rank-two Kronecker modules with singular height functions. ⋮ A family of commutative endomorphism algebras

Cites Work

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• Pathological Modules over Tame Rings
• Prescribing Endomorphism Algebras, a Unified Treatment
• Algebraic spectral problems
• On Algebraic Equivalence Between Pairs of Linear Transformations

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