Commutative Rings Whose Zero-Divisor Graphs Have Positive Genus

DOI10.1080/00927872.2012.673666zbMath1285.13010OpenAlexW2080006601MaRDI QIDQ2850812

Farid Aliniaeifard, Mahmood Behboodi

Publication date: 30 September 2013

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

Full work available at URL: https://doi.org/10.1080/00927872.2012.673666

zbMATH Keywords

commutative ringzero-divisor graphgenus of a graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Structural characterization of families of graphs (05C75) Local rings and semilocal rings (13H99) General commutative ring theory (13A99) Finite commutative rings (13M99)

Related Items (1)

On the annihilator-ideal graph of commutative rings

Cites Work

• Unnamed Item
• Zero-divisor graphs of genus one
• Rings whose zero-divisor graphs have positive genus
• Coloring of commutative rings
• When a zero-divisor graph is planar or a complete \(r\)-partite graph
• Planar zero-divisor graphs
• Infinite Planar Zero-Divisor Graphs
• Classification of Rings with Genus One Zero-Divisor Graphs
• SOLUTION OF THE HEAWOOD MAP-COLORING PROBLEM

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