Skew McCoy rings and σ-compatibility

DOI10.1142/s0219498824500312OpenAlexW4308976241MaRDI QIDQ6089236

Kyusang Lee

Publication date: 14 December 2023

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

Full work available at URL: https://doi.org/10.1142/s0219498824500312

zbMATH Keywords

regular ringscompatibilityduo ringssemicommutative ringsJacobson radicalssemicompatibilityskew McCoy ringsskew Camillo rings

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Generalizations of commutativity (associative rings and algebras) (16U80)

Cites Work

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• Armendariz rings
• Extensions of reversible rings.
• Zero-divisor placement, a condition of Camillo, and the McCoy property
• McCoy rings and zero-divisors.
• Semi-commutativity and the McCoy condition.
• RINGS OVER WHICH COEFFICIENTS OF NILPOTENT POLYNOMIALS ARE NILPOTENT
• Radicals Of Polynomial Rings
• On Extended Reversible Rings
• The McCoy Condition on Skew Polynomial Rings
• ASSOCIATED PRIMES OVER SKEW POLYNOMIAL RINGS
• The McCoy Condition on Ore Extensions
• Rings in which every left zero-divisor is also a right zero-divisor and conversely
• Logical connections between some open problems concerning nil rings
• Remarks on Divisors of Zero

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