Zero-divisor graphs and zero-divisor functors

DOI10.1142/S0219498824501998MaRDI QIDQ6635912

Enrico Sbarra, Maurizio Zanardo

Publication date: 12 November 2024

Published in: Journal of Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

zero-divisor graphartinian ringsstaircase graphzero-divisor functor

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Structure of finite commutative rings (13M05) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25) General commutative ring theory and combinatorics (zero-divisor graphs, annihilating-ideal graphs, etc.) (13A70)

Cites Work

• Title not available (Why is that?)
• Commutative Boolean monoids, reduced rings, and the compressed zero-divisor graph
• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• When a zero-divisor graph is planar or a complete \(r\)-partite graph
• Zero-divisor graphs, von Neumann regular rings, and Boolean algebras.
• On the zero-divisor graph of a commutative ring
• On zero divisor graphs
• A Zero Divisor Graph Determined by Equivalence Classes of Zero Divisors
• CYCLES AND SYMMETRIES OF ZERO-DIVISORS
• Categorial properties of compressed zero-divisor graphs of finite commutative rings
• Algebraic graph theory. Morphisms, monoids and matrices

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