Zero-divisor placement, a condition of Camillo, and the McCoy property

DOI10.1016/j.jpaa.2020.106432zbMath1465.16037OpenAlexW3031960548MaRDI QIDQ2220182

Yang Lee, Pace P. Nielsen, Nam Kyun Kim, Jongwook Baeck

Publication date: 22 January 2021

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2020.106432

zbMATH Keywords

duo ringreversible ringsemicommutative ring(outer) McCoy ring2-primal ringNI ring

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Generalizations of commutativity (associative rings and algebras) (16U80) Centralizing and normalizing extensions (16S20)

Related Items (4)

Skew McCoy rings and σ-compatibility ⋮ The rings where zero-divisor polynomials have zero-divisor coefficients ⋮ Abelian right McCoy rings and related notions ⋮ On modules related to McCoy modules

Cites Work

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• RINGS OVER WHICH COEFFICIENTS OF NILPOTENT POLYNOMIALS ARE NILPOTENT
• Annihilators in Polynomial Rings
• A UNIFIED APPROACH TO VARIOUS GENERALIZATIONS OF ARMENDARIZ RINGS
• Rings in which nilpotents form a subring
• Rings in which every left zero-divisor is also a right zero-divisor and conversely
• On nil-algebras and finitely approximable 𝑝-groups
• Remarks on Divisors of Zero

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