On right McCoy rings and right McCoy rings relative to u.p.-monoids

DOI10.1142/S0219199715500492zbMath1329.16022OpenAlexW2100012095MaRDI QIDQ5264569

Ryszard Mazurek, Michał Ziembowski

Publication date: 27 July 2015

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199715500492

zbMATH Keywords

monoid ringsright duo ringsreversible ringsu.p.-monoidsright McCoy ringsMcCoy rings relative to monoids

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) 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 (5)

On Ore extension and skew power series rings with some restrictions on zero-divisors ⋮ On zero-divisor graphs of skew polynomial rings over non-commutative rings ⋮ Skew generalized power series rings and the McCoy property ⋮ On generalized power series rings with some restrictions on zero-divisors ⋮ On modules related to McCoy modules

Cites Work

• A new class of unique product monoids with applications to ring theory.
• The diamond lemma for ring theory
• Triangular matrix representations of ring extensions.
• McCoy rings and zero-divisors.
• Semi-commutativity and the McCoy condition.
• The McCoy Condition on Noncommutative Rings
• McCoy Rings Relative to a Monoid
• A UNIFIED APPROACH TO VARIOUS GENERALIZATIONS OF ARMENDARIZ RINGS
• Remarks on Divisors of Zero

This page was built for publication: On right McCoy rings and right McCoy rings relative to u.p.-monoids