McCOY PROPERTY OF SKEW LAURENT POLYNOMIALS AND POWER SERIES RINGS

DOI10.1142/S0219498813500837zbMath1295.16026OpenAlexW2129932182MaRDI QIDQ5401612

Dariush Kiani, Abdollah Alhevaz

Publication date: 10 March 2014

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

Full work available at URL: https://doi.org/10.1142/s0219498813500837

zbMATH Keywords

skew Laurent polynomial ringsunique product monoidsrigid ringszip ringsskew monoid ringsskew Laurent power series ringsright power-serieswise McCoy ringsright skew McCoy ringsrings with Property (A)

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Generalizations of commutativity (associative rings and algebras) (16U80) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items (11)

On Ore extension and skew power series rings with some restrictions on zero-divisors ⋮ On transfer of annihilator conditions of rings ⋮ Unnamed Item ⋮ The McCoy condition on skew monoid rings ⋮ Unnamed Item ⋮ Skew generalized power series rings and the McCoy property ⋮ On extensions of Baer and quasi-Baer modules ⋮ Directed zero-divisor graph and skew power series rings ⋮ On diameter of the zero-divisor and the compressed zero-divisor graphs of skew Laurent polynomial rings ⋮ Unnamed Item ⋮ On the diameter of compressed zero-divisor graphs of ore extensions

Cites Work

• Rings with zero intersection property on annihilators: zip rings
• Rings whose faithful left ideals are cofaithful
• Armendariz rings
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• A taxonomy of 2-primal rings.
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• Power-serieswise McCoy Rings
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• Properties of Armendariz rings and weak Armendariz rings
• The McCoy Condition on Skew Polynomial Rings
• EXTENSIONS OF McCOY'S THEOREM
• A note on extensions of Baer and P. P. -rings
• Reversible Rings
• ARMENDARIZ RINGS AND SEMICOMMUTATIVE RINGS
• The McCoy Condition on Ore Extensions
• Extensions of McCoy Rings
• Power Series Rings Satisfying a Zero Divisor Property
• 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

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