Comparison of graphs associated to a commutative Artinian ring

DOI10.1007/s12044-018-0428-xzbMath1403.13007OpenAlexW2898403113MaRDI QIDQ1630247

Masoud Ghoraishi, Karim Samei

Publication date: 7 December 2018

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-018-0428-x

zbMATH Keywords

zero-divisor graphBoolean ringFrobenius ringco-maximal graph

Mathematics Subject Classification ID

Applications of graph theory (05C90) Ideals and multiplicative ideal theory in commutative rings (13A15)

Cites Work

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• The cozero-divisor graph of a commutative ring
• The total graph of a commutative ring
• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• Representations of graphs modulo \(n\)
• A note on graphical representation of rings
• On the Cayley Graph of a Commutative Ring with Respect to its Zero-divisors
• A Zero Divisor Graph Determined by Equivalence Classes of Zero Divisors
• On the Total Graph of a Finite Commutative Ring
• ON THE COZERO-DIVISOR GRAPHS AND COMAXIMAL GRAPHS OF COMMUTATIVE RINGS
• On the Annihilator Graph of a Commutative Ring
• Some Properties of a Cayley Graph of a Commutative Ring

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