The zero-divisor graph of a lattice

DOI10.1007/s00025-010-0067-8zbMath1252.05081OpenAlexW2073270592WikidataQ58841489 ScholiaQ58841489MaRDI QIDQ1758323

Kazem Khashyarmanesh, Ehsan Estaji

Publication date: 9 November 2012

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-010-0067-8

zbMATH Keywords

latticezero-divisor graphatom in a lattice

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Structural characterization of families of graphs (05C75) Boolean algebras (Boolean rings) (06E99) General commutative ring theory (13A99) Finite commutative rings (13M99)

Related Items

Unnamed Item, The annihilation graphs of commutator posets and lattices with respect to an ideal, Distributive lattices with strong endomorphism kernel property as direct sums, Certain algebraic structures associated with a double fuzzy topological space, The regular digraph associated to a poset, Lattice automorphism and zero‐divisor graphs of lattices, Poset graphs and the lattice of graph annihilators, The Zero-Divisor Graph of a Commutative Semigroup: A Survey, Zero divisor graph of a lattice with respect to an ideal, The annihilation graphs of commutator posets and lattices with respect to an element, Unnamed Item, Unnamed Item, The annihilator graph of a 0-distributive lattice, A note on the zero divisor graph of a lattice, Zero divisor graph of a lattice and its unique ideal, ON THE REGULAR DIGRAPH OF IDEALS OF COMMUTATIVE RINGS, On the line graphs of zero-divisor graphs of posets, An ideal-based graph of a bounded lattice, Annihilators in zero-divisor graphs of semilattices and reduced commutative semigroups

Cites Work

• 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
• Zero-divisor graphs, von Neumann regular rings, and Boolean algebras.
• Complemented zero-divisor graphs and Boolean rings
• CYCLES AND SYMMETRIES OF ZERO-DIVISORS
• THE ZERO-DIVISOR GRAPH OF VON NEUMANN REGULAR RINGS
• Unnamed Item
• Unnamed Item