Zero divisor graph of a poset with respect to an ideal

DOI10.1007/s11083-011-9216-2zbMath1252.05082OpenAlexW2082451755MaRDI QIDQ1757871

Vinayak Joshi

Publication date: 7 November 2012

Published in: Order (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11083-011-9216-2

zbMATH Keywords

idealchromatic numberprime idealannihilatorsemi-idealclique numbersemiprime idealzero divisor graph

Mathematics Subject Classification ID

Paths and cycles (05C38) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Coloring of graphs and hypergraphs (05C15) Semilattices (06A12)

Related Items (32)

On reduced zero-divisor graphs of posets ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Zero-divisor graphs and total coloring conjecture ⋮ Distributive lattices with strong endomorphism kernel property as direct sums ⋮ On the connectivity of enhanced power graphs of finite groups ⋮ Chordal and perfect zero-divisor graphs of posets and applications to graphs associated with algebraic structures ⋮ Lattice automorphism and zero‐divisor graphs of lattices ⋮ On graphs with equal coprime index and clique number ⋮ On the zero divisor graphs of \(pm\)-lattices ⋮ ON THE COMPLEMENT OF THE ZERO-DIVISOR GRAPH OF A PARTIALLY ORDERED SET ⋮ Perfect non-commuting graphs of matrices over chains ⋮ On generalized zero divisor graph of a poset ⋮ Characterizations of connected orthogonality graphs of projections of Rickart ∗-rings ⋮ The graph of equivalence classes of zero divisors ⋮ On some properties of Abian's semiring and its zero divisor graphs ⋮ Beck's conjecture and multiplicative lattices ⋮ ZERO DIVISOR GRAPHS OF LATTICES AND PRIMAL IDEALS ⋮ Perfect zero-divisor graphs ⋮ COMPLEMENT OF THE ZERO DIVISOR GRAPH OF A LATTICE ⋮ Unnamed Item ⋮ The zero divisor graphs of Boolean posets ⋮ Zero divisor graph of a lattice with respect to an ideal ⋮ On Primary Ideals in Posets ⋮ Unnamed Item ⋮ On the connectedness of the complement of the zero-divisor graph of a poset ⋮ The annihilator graph of a 0-distributive lattice ⋮ Normal subgroup based power graphs of a finite group ⋮ Unnamed Item ⋮ ON WEAKLY PERFECT ANNIHILATING-IDEAL GRAPHS ⋮ On the line graphs of zero-divisor graphs of posets

Cites Work

• Semiprime ideals and separation theorems for posets
• On Beck's coloring of posets
• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• Beck's coloring of a commutative ring
• The zero-divisor graph of a commutative semigroup
• An Ideal-Based Zero-Divisor Graph of a Commutative Ring
• Annihilators and ideals in ordered sets
• Zero-Divisor Graph with Respect to an Ideal
• Unnamed Item
• Unnamed Item

This page was built for publication: Zero divisor graph of a poset with respect to an ideal