On 𝒦-Nonsingular Modules and Applications

DOI10.1080/00927870701404374zbMath1154.16005OpenAlexW1589524410MaRDI QIDQ5423816

S. Tariq Rizvi, Cosmin S. Roman

Publication date: 31 October 2007

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

Full work available at URL: https://doi.org/10.1080/00927870701404374

zbMATH Keywords

endomorphism ringsendomorphismsdirect sumsdecompositionsinjective modulesextending modulesBaer modulesnonsingular modules

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Injective modules, self-injective associative rings (16D50) 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)

Related Items (35)

On weak Rickart modules ⋮ Modules whose t-closed submodules are their homomorphic images ⋮ Direct sums of quasi-Baer modules ⋮ Dual Rickart Modules ⋮ A dual approach to the theory of inverse split modules ⋮ ON e-SMALL RETRACTABLE MODULES ⋮ On Some Classes of Module Hulls ⋮ Modules in which the annihilator of a fully invariant submodule is pure ⋮ Direct sums of Rickart modules. ⋮ Abelian groups whose nonzero endomorphisms have nonessential kernels ⋮ Abelian endoregular modules ⋮ Σ-Rickart modules ⋮ Rickart Modules ⋮ Quasi-Baer module hulls and their examples ⋮ Quasi-Baer module hulls and applications ⋮ ON DUAL BAER MODULES ⋮ Mod-Retractable Rings ⋮ BAER ENDOMORPHISM RINGS AND ENVELOPES ⋮ Principally Quasi-Baer Skew Power Series Modules ⋮ Unnamed Item ⋮ Endo-principally quasi-Baer modules ⋮ A variation of coretractable modules ⋮ Modules Whose Endomorphism Rings are Unit-Regular ⋮ On Examples of Baer and Rickart Module Hulls ⋮ Module hulls—similarities and contrasts ⋮ On direct sums of Baer modules. ⋮ π-endo Baer modules ⋮ t-Extending Modules andt-Baer Modules ⋮ ON 𝒯-NONCOSINGULAR MODULES ⋮ Polynomial extensions of modules with the quasi-Baer property ⋮ Modules Whose Endomorphism Rings are Von Neumann Regular ⋮ s.Baer and s.Rickart Modules ⋮ 𝔏-Rickart Modules ⋮ Retractable and coretractable abelian groups ⋮ Modules with ascending chain condition on annihilators and Goldie modules

Cites Work

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• Baer rings of endomorphisms
• Commutative rings for which every continuous module is quasi-injective
• Triangular matrix representations of ring extensions.
• Triangular matrix representations
• On injective and quasi-continuous modules
• Regular rings and Baer rings
• Baer and Quasi-Baer Modules
• A COUNTEREXAMPLE FOR CS-RINGS
• Nonsingular retractable modules and their endomorphism rings

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