Power-serieswise McCoy Rings

DOI10.1142/S1005386711000198zbMath1220.16031OpenAlexW1980086791MaRDI QIDQ3168899

Xuemei Song, Shizhou Yang, Liu, Zhongkui

Publication date: 27 April 2011

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

Full work available at URL: http://www.worldscinet.com/ac/18/1802/S1005386711000198.html

zbMATH Keywords

direct productsreduced ringsupper triangular matrix ringspower-serieswise Armendariz ringspower-serieswise McCoy rings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) 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)

Related Items (11)

Zero Divisors in Skew Power Series Rings ⋮ On transfer of annihilator conditions of rings ⋮ McCoy property and nilpotent elements of skew generalized power series rings ⋮ Special properties of the ring Sn(R) ⋮ Domination number of graphs associated with rings ⋮ Unnamed Item ⋮ Skew generalized power series rings and the McCoy property ⋮ McCOY PROPERTY OF SKEW LAURENT POLYNOMIALS AND POWER SERIES RINGS ⋮ McCoy property of Hurwitz series rings ⋮ On generalized power series rings with some restrictions on zero-divisors ⋮ On the diameter of compressed zero-divisor graphs of ore extensions

Cites Work

• Extensions of reversible rings.
• Extensions of zip rings.
• Armendariz rings and reduced rings
• McCoy rings and zero-divisors.
• Semi-commutativity and the McCoy condition.
• Armendariz and Reduced Rings
• Semigroups and rings whose zero products commute
• ARMENDARIZ RINGS AND SEMICOMMUTATIVE RINGS
• ARMENDARIZ RINGS RELATIVE TO A MONOID
• Power Series Rings Satisfying a Zero Divisor Property
• On the Representation of Modules by Sheaves of Factor Modules
• Remarks on Divisors of Zero

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