The rings where zero-divisor polynomials have zero-divisor coefficients

DOI10.1216/RMJ.2021.51.771zbMath1477.16040OpenAlexW3193007149MaRDI QIDQ1983208

Jongwook Baeck

Publication date: 10 September 2021

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj.2021.51.771

zbMATH Keywords

McCoy's theoremMcCoy ringzero-divisor polynomialZPZC ring

Mathematics Subject Classification ID

Generalizations of commutativity (associative rings and algebras) (16U80)

Related Items (2)

\(S\)-injective modules ⋮ On modules related to McCoy modules

Cites Work

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• On extensions of matrix rings with skew Hochschild 2-cocycles
• Annihilators in ideals of coefficients of zero-dividing polynomials
• Structure and topological conditions of NI rings.
• The diamond lemma for ring theory
• Zero-divisor placement, a condition of Camillo, and the McCoy property
• McCoy rings and zero-divisors.
• Semi-commutativity and the McCoy condition.
• On McCoy modules
• The McCoy Condition on Noncommutative Rings
• RINGS OVER WHICH COEFFICIENTS OF NILPOTENT POLYNOMIALS ARE NILPOTENT
• Armendariz and Reduced Rings
• AN EXTENSION OF RINGS AND HOCHSCHILD 2-COCYCLES
• On Constant Zero-Divisors of Linear Polynomials
• McCoy modules and related modules over commutative rings
• Extensions of McCoy Rings
• Zero Divisors and Nilpotent Elements in Power Series Rings
• A question on McCoy rings
• Remarks on Divisors of Zero

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