Radical endomorphisms of decomposable modules.

DOI10.1016/j.jalgebra.2004.04.004zbMath1109.16027OpenAlexW2108900018MaRDI QIDQ1887582

Julius M. Zelmanowitz

Publication date: 22 November 2004

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.04.004

zbMATH Keywords

endomorphismsdirect sumsdirect summandsJacobson radicalexchange propertydirect sum decompositionslocal endomorphism ringsdecomposable modulesrings of row-finite matrices

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) Jacobson radical, quasimultiplication (16N20)

Related Items

Covering classes and uniserial modules ⋮ Nilpotent ideals in polynomial and power series rings ⋮ Half-orthogonal sets of idempotents

Cites Work

• Classes of modules with the exchange property
• Refinements for infinite direct decompositions of algebraic systems
• Finitistic Dimension and a Homological Generalization of Semi-Primary Rings
• The Radical of the Row-Finite Matrices Over an Arbitrary Ring
• The Jacobson Radical of the Endomorphism Ring of a Projective Module
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