Modules Whose Endomorphism Rings are Von Neumann Regular

DOI10.1080/00927872.2012.700979zbMath1300.16032OpenAlexW2061651476MaRDI QIDQ2855405

S. Tariq Rizvi, Gangyong Lee, Cosmin S. Roman

Publication date: 25 October 2013

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

Full work available at URL: https://doi.org/10.1080/00927872.2012.700979

zbMATH Keywords

endomorphism ringsdivision ringsvon Neumann regular ringsdual Rickart modulesRickart modulesendoregular Abelian groupsendoregular modules

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) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items

Elementary matrices and products of idempotents, Rickart and dual Rickart objects in abelian categories: transfer via functors, S-T-CORETRACTABLE MODULES, Finite Σ-Rickart modules, On quasi-morphic modules, Injective and coherent endomorphism rings relative to some matrices, Endoregular modules, Weakly-morphic modules, On Utumi rings and continuous regular Baer rings, Unnamed Item, Strongly Rickart objects in abelian categories, Strongly Rickart objects in abelian categories: Applications to strongly regular and strongly Baer objects, Unnamed Item, Abelian endoregular modules, Σ-Rickart modules, Hopficity of Modules and Rings (Survey), Unnamed Item, Modules Whose Endomorphism Rings are Unit-Regular, Characterizations and Direct Sums of Unit-Endoregular Modules, Module-theoretic generalization of commutative von Neumann regular rings, Regular morphisms in abelian categories, Characterization of rings using finite-direct-injective modules, Unnamed Item, Modules Whose Endomorphism Rings are Division Rings, 𝔏-Rickart Modules, On endomorphism rings of Leavitt path algebras, π-Rickart and dual π-Rickart objects in abelian categories, On rings whose nonunits are a unit multiple of a nilpotent, T-continuous modules

Cites Work

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