Zero-divisor graphs of modules via module homomorphisms

DOI10.1216/RMJ-2015-45-1-1zbMath1310.05114OpenAlexW2015751699WikidataQ58841458 ScholiaQ58841458MaRDI QIDQ2340829

Kazem Khashyarmanesh, Mojgan Afkhami, Ehsan Estaji, Mahdi Reza Khorsandi

Publication date: 21 April 2015

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1428412771

zbMATH Keywords

girthplanar graphzero-divisor graphtensor product of graphsdecomposable moduleendomorphism of a module

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Structure, classification theorems for modules and ideals in commutative rings (13C05)

Cites Work

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• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• Beck's coloring of a commutative ring
• When a zero-divisor graph is planar or a complete \(r\)-partite graph
• The zero-divisor graph of a commutative semigroup
• Zero-divisor graphs, von Neumann regular rings, and Boolean algebras.
• Zero divisor graphs for modules over commutative rings
• CYCLES AND SYMMETRIES OF ZERO-DIVISORS

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