Skew generalized power series rings and the McCoy property

DOI10.11650/tjm/180805zbMath1406.16026OpenAlexW2886395338MaRDI QIDQ1722075

Rasul Mohammadi, Ebrahim Hashemi, Abdollah Alhevaz, Masoome Zahiri

Publication date: 14 February 2019

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.twjm/1534125615

zbMATH Keywords

semi-regular ringstrictly ordered monoidunique product monoidreversible ring\((s\omega)\)-McCoy ring

Mathematics Subject Classification ID

Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Ordered semigroups and monoids (06F05) Twisted and skew group rings, crossed products (16S35)

Related Items

Archimedean domains of skew generalized power series

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An alternative perspective on skew generalized power series rings
• A new class of unique product monoids with applications to ring theory.
• Fields of generalized power series
• Semisimple rings and von Neumann regular rings of generalized power series
• Extensions of reversible rings.
• Special properties of generalized power series
• Polynomial extensions of quasi-Baer rings.
• McCoy rings and zero-divisors.
• Semi-commutativity and the McCoy condition.
• ON ANNIHILATIONS OF IDEALS IN SKEW MONOID RINGS
• Power-serieswise McCoy Rings
• Annihilators in Polynomial Rings
• Properties of Primary Noncommutative Rings
• On Von Neumann Regular Rings of Skew Generalized Power Series
• McCoy Rings Relative to a Monoid
• A UNIFIED APPROACH TO VARIOUS GENERALIZATIONS OF ARMENDARIZ RINGS
• The McCoy Condition on Skew Polynomial Rings
• Reflexive ideals
• Reversible Rings
• On right McCoy rings and right McCoy rings relative to u.p.-monoids
• McCOY PROPERTY OF SKEW LAURENT POLYNOMIALS AND POWER SERIES RINGS
• Near-rings in which each element is a power of itself
• Zero Divisors and Nilpotent Elements in Power Series Rings