McCoy Rings Relative to a Monoid

DOI10.1080/00927870902911763zbMath1207.16041OpenAlexW2025724345MaRDI QIDQ3562319

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Publication date: 21 May 2010

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

Full work available at URL: https://doi.org/10.1080/00927870902911763

zbMATH Keywords

semicommutative ringsArmendariz ringsreversible ringsu.p.-monoidsright McCoy rings

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) Semigroup rings, multiplicative semigroups of rings (20M25) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items (13)

On Ore extension and skew power series rings with some restrictions on zero-divisors ⋮ On Rings Having McCoy-Like Conditions ⋮ On transfer of annihilator conditions of rings ⋮ Unnamed Item ⋮ McCoy property and nilpotent elements of skew generalized power series rings ⋮ The McCoy condition on skew monoid rings ⋮ Unnamed Item ⋮ Skew generalized power series rings and the McCoy property ⋮ McCOY PROPERTY OF SKEW LAURENT POLYNOMIALS AND POWER SERIES RINGS ⋮ On Monoid Rings Over Nil Armendariz Ring ⋮ A note on zip rings. ⋮ On nil-McCoy rings relative to a monoid ⋮ On right McCoy rings and right McCoy rings relative to u.p.-monoids

Cites Work

• Unnamed Item
• Unnamed Item
• Noetherian rings of generalized power series
• Armendariz rings
• Triangular matrix representations of ring extensions.
• A taxonomy of 2-primal rings.
• McCoy rings and zero-divisors.
• Semi-commutativity and the McCoy condition.
• Annihilators in Polynomial Rings
• A note on extensions of Baer and P. P. -rings
• Reversible Rings
• ARMENDARIZ RINGS RELATIVE TO A MONOID

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