The McCoy Condition on Ore Extensions

DOI10.1080/00927872.2011.623289zbMath1269.16019OpenAlexW2006794633MaRDI QIDQ4912721

Abdollah Alhevaz, Ahmad Moussavi, Mohammad Habibi

Publication date: 5 April 2013

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

Full work available at URL: https://doi.org/10.1080/00927872.2011.623289

zbMATH Keywords

skew polynomial ringsring extensionsOre extensionssemicommutative ringsreversible ringszip ringsskew McCoy rings

Mathematics Subject Classification ID

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

Related Items (17)

On Ore extension and skew power series rings with some restrictions on zero-divisors ⋮ Zero Divisors in Skew Power Series Rings ⋮ McCoy property and nilpotent elements of skew generalized power series rings ⋮ Skew McCoy rings and σ-compatibility ⋮ Some types of ring elements in Ore extensions over noncommutative rings ⋮ Unnamed Item ⋮ McCOY PROPERTY OF SKEW LAURENT POLYNOMIALS AND POWER SERIES RINGS ⋮ On Zero-Divisors in Skew Inverse Laurent Series Over NonCommutative Rings ⋮ The McCoy condition on skew Poincaré-Birkhoff-Witt extensions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On diameter of the zero-divisor and the compressed zero-divisor graphs of skew Laurent polynomial rings ⋮ Unnamed Item ⋮ Special Properties of Rings of Skew Generalized Power Series ⋮ On the diameter of compressed zero-divisor graphs of ore extensions ⋮ ON ANNIHILATOR PROPERTIES OF INVERSE SKEW POWER SERIES RINGS ⋮ A note on rings with McCoy-like properties

Cites Work

• Rings with zero intersection property on annihilators: zip rings
• Rings whose faithful left ideals are cofaithful
• Armendariz rings
• A taxonomy of 2-primal rings.
• Extensions of reversible rings.
• Extensions of zip rings.
• Polynomial extensions of quasi-Baer rings.
• McCoy rings and zero-divisors.
• Semi-commutativity and the McCoy condition.
• Zip rings and mal'cev domains
• On Strongly Clean Matrix and Triangular Matrix Rings
• Extensions of Rings Having McCoy Condition
• The McCoy Condition on Skew Polynomial Rings
• Armendariz rings and gaussian rings
• Reflexive ideals
• A note on extensions of Baer and P. P. -rings
• Primeness, semiprimeness and prime radical of ore extensions
• Reversible Rings
• ARMENDARIZ RINGS AND SEMICOMMUTATIVE RINGS
• ON (α, δ)-SKEW ARMENDARIZ RINGS
• Ore Extensions of Skew Armendariz Rings
• Near-rings in which each element is a power of itself
• A question on McCoy rings
• Remarks on Divisors of Zero
• On annihilator ideals of a polynomial ring over a noncommutative ring
• Unnamed Item
• Unnamed Item

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