Unified Extensions of Strongly Reversible Rings and Links with Other Classic Ring Theoretic Properties

DOI10.18311/jims/2018/20986zbMath1463.16047OpenAlexW2801175412MaRDI QIDQ5139971

Amit Bhooshan Singh, Rajendra K. Sharma

Publication date: 13 December 2020

Published in: Journal of the Indian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.18311/jims/2018/20986

zbMATH Keywords

duo ringArmendariz ringreversible ringreduced ringsymmetric ringlinear Armendariz ringstrongly reversible ringsemi-commutative ringstrongly \((M, \omega)\)-reversible ring

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Generalizations of commutativity (associative rings and algebras) (16U80) Associative rings of fractions and localizations (16S85)

Related Items (2)

On rings with weak property (A) and their extensions ⋮ On a theorem of McCoy

Cites Work

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• Properties which do not pass to classical rings of quotients.
• Nilpotent elements and Armendariz rings.
• Armendariz rings
• A taxonomy of 2-primal rings.
• Extensions of reversible rings.
• Armendariz rings and reduced rings
• McCoy rings and zero-divisors.
• Semi-commutativity and the McCoy condition.
• A UNIFIED APPROACH TO VARIOUS GENERALIZATIONS OF ARMENDARIZ RINGS
• ON WEAK ARMENDARIZ RINGS
• A note on extensions of Baer and P. P. -rings
• Semigroups and rings whose zero products commute
• Reversible Rings

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