Perspectivity, exchange and summand-dual-square-free modules

DOI10.1080/00927872.2021.2008414OpenAlexW4200480348MaRDI QIDQ5072717

Yasser Ibrahim, Mohamed F. Yousif

Publication date: 4 May 2022

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

Full work available at URL: https://doi.org/10.1080/00927872.2021.2008414

zbMATH Keywords

regularcancelationsquare-free and dual-square-free modulesabelian and quasi-duo ringsexchange and clean ringsperspective rings and modulessubstitution and stable range 1unit-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)

Related Items (3)

C4-modules with the exchange property ⋮ Direct complements almost unique ⋮ Idempotent chains and bounded generation of \(\mathrm{SL}_2\)

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