Irreducible Divisor Graphs

DOI10.1080/00927870601115807zbMath1114.13001OpenAlexW2049719786MaRDI QIDQ3435930

Jack Maney, Coykendall, Jim

Publication date: 8 May 2007

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

Full work available at URL: https://doi.org/10.1080/00927870601115807

zbMATH Keywords

factorizationintegral domainirreducible divisor graph

Mathematics Subject Classification ID

Integral domains (13G05) Coloring of graphs and hypergraphs (05C15) Divisibility and factorizations in commutative rings (13A05)

Related Items (10)

The category of factorization ⋮ Irreducible Divisor Graphs and Factorization Properties of Domains ⋮ Adjacency-like conditions and induced ideal graphs ⋮ Irreducible Divisor Graphs in Commutative Rings with Zero Divisors ⋮ Survey article: Graphical representations of factorizations in commutative rings ⋮ Chordality of graphs associated to commutative rings ⋮ Divisor graphs and isotopy invariants of commutative quasigroups ⋮ Bounded and finite factorization domains ⋮ On gracefully and harmoniously labeling zero-divisor graphs ⋮ Generalized Irreducible Divisor Graphs

Cites Work

• 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
• Boundary valuation domains.
• Zero divisor graphs of semigroups.
• The zero-divisor graph of a commutative semigroup
• Zero-divisor graphs, von Neumann regular rings, and Boolean algebras.
• On the zero-divisor graph of a commutative ring
• On directed zero-divisor graphs of finite rings
• The half-factorial property in integral extensions
• An Ideal-Based Zero-Divisor Graph of a Commutative Ring
• THE ZERO-DIVISOR GRAPH OF VON NEUMANN REGULAR RINGS

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