Direct complements almost unique

DOI10.1142/s0219498823502602OpenAlexW4293113715MaRDI QIDQ6087900

Mohamed F. Yousif, Yasser Ibrahim

Publication date: 16 November 2023

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498823502602

zbMATH Keywords

square-free and dual-square-free modulesabelian and quasi-duo ringsexchange and clean ringsperspective rings and modulescancellation, substitution and stable range 1regular, unit-regular and strongly regular rings

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Free, projective, and flat modules and ideals in associative algebras (16D40) Quasi-Frobenius rings (16L60) Noncommutative local and semilocal rings, perfect rings (16L30) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Artinian rings and modules (associative rings and algebras) (16P20) Noetherian rings and modules (associative rings and algebras) (16P40)

Cites Work

• Perspective rings.
• Rings of square stable range one
• Commuting idempotents, square-free modules, and the exchange property.
• Square-free modules with the exchange property.
• Perspectivity and cancellation in regular rings
• Refinements for infinite direct decompositions of algebraic systems
• Idempotent lifting and ring extensions
• C4-Modules
• MODULES WITH ABELIAN ENDOMORPHISM RINGS
• On quasi-duo rings
• ABELIAN EXCHANGE MODULES
• D3-MODULES VERSUSD4-MODULES – APPLICATIONS TO QUIVERS
• Perspectivity, exchange and summand-dual-square-free modules
• D4-Modules
• Dual-square-free modules
• U-Modules with transitive perspectivity
• Perspectivity and von Neumann regularity
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