On Zero-Divisors in Skew Inverse Laurent Series Over NonCommutative Rings

DOI10.1080/00927872.2012.716119zbMath1298.16023OpenAlexW1980809674MaRDI QIDQ5409795

Dariush Kiani, Abdollah Alhevaz

Publication date: 14 April 2014

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

Full work available at URL: https://doi.org/10.1080/00927872.2012.716119

zbMATH Keywords

diameterszero-divisor graphsgirthsMcCoy ringsskew inverse Laurent series rings

Mathematics Subject Classification ID

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) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Distance in graphs (05C12) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items

On the diameter of the zero-divisor graph over skew PBW extensions ⋮ On zero-divisor graphs of skew polynomial rings over non-commutative rings ⋮ Directed zero-divisor graph and skew power series rings ⋮ Annihilator Ideals of Noncommutative Ring Constructions ⋮ A fresh look into skew inverse Laurent series rings ⋮ On diameter of the zero-divisor and the compressed zero-divisor graphs of skew Laurent polynomial rings ⋮ On the Jacobson radical of skew inverse Laurent series ring ⋮ On generalized power series rings with some restrictions on zero-divisors

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