scientific article; zbMATH DE number 7376981

zbMath1482.16002MaRDI QIDQ5004258

Ayman M. A. Horoub, W. Keith Nicholson

Publication date: 30 July 2021

Full work available at URL: http://www.ieja.net/files/papers/volume-29/4-V29-2021.pdf

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zbMATH Keywords

stable rangevon Neumann regular ringtriangular matrix ringunit-regular ring\(\mathcal{L}\)-stable ringinternal cancellation ringleft idealtorsuniquely generated ring

Mathematics Subject Classification ID

Ideals in associative algebras (16D25) Units, groups of units (associative rings and algebras) (16U60) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Cites Work

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• Rings with internal cancellation.
• When are associates unit multiples?
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• Stable modules and a theorem of Camillo and Yu.
• Stable range in commutative rings
• Exchange rings and decompositions of modules
• Rings whose elements are quasi-regular or regular
• Annihilator-stability and unique generation
• Some Characterizations of VNL Rings
• Units and One-Sided Units in Regular Rings
• Lifting Idempotents and Exchange Rings
• Exchange rings, units and idempotents
• On exchange rings
• A CRASH COURSE ON STABLE RANGE, CANCELLATION, SUBSTITUTION AND EXCHANGE
• Elementary Divisors and Modules

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