On Constant Zero-Divisors of Linear Polynomials

DOI10.1080/00927872.2012.727201zbMath1344.16033OpenAlexW2072422866MaRDI QIDQ5249910

Yang Lee, Byung-Ok Kim, Tai Keun Kwak

Publication date: 13 May 2015

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2012.727201

zbMATH Keywords

polynomial ringssemicommutative ringsright McCoy ringsright left-ideal-McCoy ringsright linearly left-ideal-McCoy ringsright linearly right-ideal-McCoy rings

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Generalizations of commutativity (associative rings and algebras) (16U80) Ideals in associative algebras (16D25)

Related Items (3)

A taxonomy of Dedekind-finite and reflexive rings ⋮ The rings where zero-divisor polynomials have zero-divisor coefficients ⋮ Annihilators of polynomials

Cites Work

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• The Armendariz property on ideals.
• Annihilators in ideals of coefficients of zero-dividing polynomials
• Nilpotent elements and Armendariz rings.
• Armendariz rings
• McCoy rings and zero-divisors.
• Semi-commutativity and the McCoy condition.
• ON A GENERALIZATION OF THE MCCOY CONDITION
• The McCoy Condition on Noncommutative Rings
• RINGS OVER WHICH COEFFICIENTS OF NILPOTENT POLYNOMIALS ARE NILPOTENT
• Armendariz and Reduced Rings
• Armendariz rings and gaussian rings
• A note on extensions of Baer and P. P. -rings
• Concerning adjunctions to algebras
• Reversible Rings
• ARMENDARIZ RINGS AND SEMICOMMUTATIVE RINGS
• Weakly Regular Rings
• Remarks on Divisors of Zero

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