U-Modules with transitive perspectivity

DOI10.1080/00927872.2021.1922699OpenAlexW3162419164MaRDI QIDQ5860672

Yasser Ibrahim, Mohamed F. Yousif

Publication date: 22 November 2021

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

Full work available at URL: https://doi.org/10.1080/00927872.2021.1922699

zbMATH Keywords

continuous and quasi-continuous modulesdiscrete and quasi-discrete modulesquasi-injective and quasi-projective modulesUtumi and dual Utumi modulesperspectivity and transitivity of perspectivity

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Free, projective, and flat modules and ideals in associative algebras (16D40) 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)

Related Items (3)

Perspectivity, exchange and summand-dual-square-free modules ⋮ On modules and rings having large absolute direct summands ⋮ Direct complements almost unique

Cites Work

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• Perspective rings.
• Cancellation of modules and groups and stable range of endomorphism rings
• Perspectivity and cancellation in regular rings
• Transitivity of perspectivity
• Automorphism-invariant modules satisfy the exchange property.
• Half-orthogonal sets of idempotents
• Idempotent lifting and ring extensions
• Corner Rings of a Clean Ring Need Not be Clean
• Utumi modules
• A CRASH COURSE ON STABLE RANGE, CANCELLATION, SUBSTITUTION AND EXCHANGE
• Dual Utumi modules
• D3-MODULES VERSUSD4-MODULES – APPLICATIONS TO QUIVERS
• Weakly perspective rings and modules
• Dual-square-free modules
• Perspectivity and von Neumann regularity

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