Zero-Divisor Graphs for Group Rings

DOI10.1080/00927872.2013.827689zbMath1303.16026OpenAlexW2018283821MaRDI QIDQ5495280

Yuan Lin Li, Farid Aliniaeifard

Publication date: 31 July 2014

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

Full work available at URL: https://doi.org/10.1080/00927872.2013.827689

zbMATH Keywords

finite groupsisomorphism problemmodular group ringszero-divisor graphssemisimple group ringsreversible group rings

Mathematics Subject Classification ID

Group rings (16S34) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Conditions on elements (16U99)

Related Items (1)

Zero-divisor graph of semisimple group-rings

Cites Work

• Unnamed Item
• On the diameter and girth of a zero-divisor graph
• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• Beck's coloring of a commutative ring
• On zero-divisor graphs of finite rings.
• Zero-divisor graphs of non-commutative rings.
• A combinatorial problem on finite Abelian groups. I
• Reversible Group Rings Over Commutative Rings
• Zero-Divisor Graphs of Polynomials and Power Series Over Commutative Rings
• On Reversible Group Rings
• Local Group Rings

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