Invariants and isomorphism theorems for zero-divisor graphs of commutative rings of quotients

DOI10.1216/JCA-2014-6-3-407zbMath1308.13011MaRDI QIDQ471981

John D. LaGrange

Publication date: 18 November 2014

Published in: Journal of Commutative Algebra (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jca/1416233325

zbMATH Keywords

ring of quotientszero-divisor graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) General commutative ring theory (13A99)

Related Items

The i -extended zero-divisor graphs of commutative rings ⋮ Weakly central-vertex complete graphs with applications to commutative rings

Cites Work

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• Coloring of commutative rings
• Strong Prüfer rings and the ring of finite fractions
• The zero-divisor graph of a commutative ring
• The ring of \(\alpha \)-quotients.
• Zero-divisor graphs, von Neumann regular rings, and Boolean algebras.
• Complemented zero-divisor graphs and Boolean rings
• RATIONALLY ℵ_α-COMPLETE COMMUTATIVE RINGS OF QUOTIENTS
• On Realizing Zero-Divisor Graphs