Homomorphisms close to regular and their applications.

DOI10.1007/s10958-012-0813-4zbMath1258.16006OpenAlexW2077250684MaRDI QIDQ690746

A. N. Abyzov, Askar A. Tuganbaev

Publication date: 29 November 2012

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-012-0813-4

zbMATH Keywords

Jacobson radicalfully idempotent homomorphismsfully idempotent modulespartially invertible homomorphismsregular homomorphismsV-modules

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Automorphisms and endomorphisms (16W20) Other classes of modules and ideals in associative algebras (16D80) Jacobson radical, quasimultiplication (16N20) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items

ABELIAN GROUPS WITH A REGULAR CENTER OF THE ENDOMORPHISM RING ⋮ Weakly regular modules. ⋮ On abelian groups with commutative commutators of endomorphisms ⋮ Formal matrices and rings close to regular ⋮ On fully idempotent homomorphisms of abelian groups ⋮ On certain classes of rings of formal matrices.

Cites Work

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• Fully idempotent homomorphisms.
• Regularity conditions and the simplicity of prime factor rings
• On (semi)regularity and the total of rings and modules.
• Some characterizations of regular modules
• Weakly regular modules
• Regular modules and V-modules
• On semi-artinian \(V\)-modules
• On rings with zero total
• Semiregular, weakly regular, and \(\pi\)-regular rings
• Semiartinian \(V\)-rings and semiartinian von Neumann regular rings
• On injective hulls of simple modules
• Regular substructures of Hom.
• On the Infinite Radical of a Module Category
• Von Neumann Regularity of V-Rings with Artinian Primitive Factor Rings
• Rings all of whose one-sided ideals are generated by idempotents
• I-Rings
• Co-semisimple modules and nonassociative v-rings
• An analogue of the pierce sheaf for non-commutative rings
• Weakly regular rings
• A Connection Between Weak Regularity and the Simplicity of Prime Factor Rings
• Multipliers of von neumann regular rings
• A note on regular modules
• Right fully idempotent rings need not be left fully idempotent
• Loewy series,V-modules and trace ideals
• Semiregular Morphisms
• Generalization of Regular Modules
• Regularity and Substructures of Hom
• Endomorphism Rings of Projective Modules
• Regular Modules
• On the radical of a category
• On Regular Rings
• Rings with a polynomial identity
• The Maximal Regular Ideal of a Ring
• On the Structure of Algebraic Algebras and Related Rings