On Rings Having McCoy-Like Conditions

DOI10.1080/00927872.2010.548842zbMath1260.16024OpenAlexW2126733706MaRDI QIDQ2888539

Abdollah Alhevaz, Mohammad Habibi, Ahmad Moussavi

Publication date: 1 June 2012

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

Full work available at URL: https://doi.org/10.1080/00927872.2010.548842

zbMATH Keywords

skew polynomial ringsmonoid ringssemicommutative ringsweak zip ringsreversible ringsweak Armendariz ringsweak McCoy rings

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Generalizations of commutativity (associative rings and algebras) (16U80)

Related Items (16)

ANNIHILATOR CONDITIONS IN MATRIX AND SKEW POLYNOMIAL RINGS ⋮ On extensions of matrix rings with skew Hochschild 2-cocycles ⋮ \(\pi\)-Armendariz rings relative to a monoid ⋮ ON NIL SKEW ARMENDARIZ RINGS ⋮ Nearring of ore extensions: Zero-divisors and regular elements ⋮ Special properties of the ring Sn(R) ⋮ Study of skew inverse Laurent series rings ⋮ On clean and regular elements of near-ring of skew polynomials ⋮ UNJ-Rings ⋮ Weak (\(\alpha ,\delta\))-skew Armendariz ideals ⋮ On Monoid Rings Over Nil Armendariz Ring ⋮ A GENERALIZATION OF NIL-ARMENDARIZ RINGS ⋮ On nil-McCoy rings relative to a monoid ⋮ Rings in which every unit is a sum of a nilpotent and an idempotent ⋮ Radicals of Skew Inverse Laurent Series Rings ⋮ A note on rings with McCoy-like properties

Cites Work

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• Rings with zero intersection property on annihilators: zip rings
• Nilpotent elements and Armendariz rings.
• Noetherian rings of generalized power series
• Armendariz rings
• Triangular matrix representations of ring extensions.
• A taxonomy of 2-primal rings.
• Extensions of zip rings.
• Armendariz rings and reduced rings
• Polynomial extensions of quasi-Baer rings.
• McCoy rings and zero-divisors.
• Semi-commutativity and the McCoy condition.
• Twisted matrix units semigroup algebras
• Armendariz and Reduced Rings
• ORE EXTENSIONS OF WEAK ZIP RINGS
• Annihilator ideals, associated primes and kasch-mccoy commutative rings
• Zip rings and mal'cev domains
• McCoy Rings Relative to a Monoid
• WEAK α-SKEW ARMENDARIZ RINGS
• The McCoy Condition on Skew Polynomial Rings
• EXTENSIONS OF McCOY'S THEOREM
• Armendariz rings and gaussian rings
• A note on extensions of Baer and P. P. -rings
• Primeness, semiprimeness and prime radical of ore extensions
• ARMENDARIZ RINGS AND SEMICOMMUTATIVE RINGS
• ON (α, δ)-SKEW ARMENDARIZ RINGS
• ARMENDARIZ RINGS RELATIVE TO A MONOID
• On Skew Armendariz Rings
• ON II-ARMENDARIZ RINGS
• Ore Extensions of Skew Armendariz Rings
• On Weak Armendariz Rings
• 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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