The diameter of a zero divisor graph

From MaRDI portal
Publication:2498880

DOI10.1016/j.jalgebra.2006.01.019zbMath1109.13006OpenAlexW2094645987MaRDI QIDQ2498880

Thomas G. Lucas

Publication date: 16 August 2006

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.01.019



Related Items

Mc-Extensions: Examples, Zero-Divisors Graph, and Colorability, Deriving some properties of Stanley-Reisner rings from their squarefree zero-divisor graphs, Automorphisms of the zero-divisor graph of the ring of all \(n\times n\) matrices over a finite field, On the clique number of the complement of the annihilating ideal graph of a commutative ring, THE ZERO-DIVISOR GRAPHS OF RINGS AND SEMIRINGS, Unnamed Item, Zero-divisors and zero-divisor graphs of power series rings, DOMINATION IN THE TOTAL GRAPH ON ℤn, Countably McCoy rings, On Realizing Zero-Divisor Graphs, The Wiener index of the zero-divisor graph of \(\mathbb{Z}_n\), Nilpotent graphs of skew polynomial rings over non-commutative rings, Fault-tolerant metric dimension of zero-divisor graphs of commutative rings, THE DIAMETER OF THE ZERO-DIVISOR GRAPH OF THE IDEALIZATION OF THE RING R IN R, Unnamed Item, A graph associated with the set of all nonzero annihilating ideals of a commutative ring, The triple zero graph of a commutative ring, A note on zero-divisors of commutative rings, On two extensions of the classical zero-divisor graph, The annihilating-ideal graph of an idealization, Unnamed Item, The radius of unit graphs of rings, On the diameter and girth of a zero-divisor graph, Classification of non-local rings with projective 3-zero-divisor hypergraph, Nearring of ore extensions: Zero-divisors and regular elements, The group of automorphisms of a zero-divisor graph based on rank one upper triangular matrices, Bi-amalgamation of rings defined by certain annihilator conditions, Zero-divisor graphs with respect to ideals in noncommutative rings., Zero-divisor graphs of rings and their Hermitian matrices, On the diameter of the zero-divisor graph over skew PBW extensions, Orthogonality graphs of direct sums of rings and semisimple Artinian rings, A new approach to the diameter of zero-divisor graph, The Zariski topology graph on scheme, On the complement of the total zero-divisor graph of a commutative ring, Zero-divisor super-\(\lambda\) graphs, The co-annihilating graph of a commutative ring, Graphs defined by orthogonality., The McCoy condition on skew monoid rings, Unnamed Item, On the Zero-Divisor Graph of a Ring, Unnamed Item, Some properties of the complement of the zero-divisor graph of a commutative ring, Classification of nonlocal rings with genus one 3-zero-divisor hypergraphs, On zero-divisor graphs of skew polynomial rings over non-commutative rings, Automorphisms of the zero-divisor graph of the full matrix ring, Fusible rings, ANNIHILATING CONTENT IN POLYNOMIAL AND POWER SERIES RINGS, Automorphism group of rank-decreasing graph of matrices, A note on automorphisms of the zero-divisor graph of upper triangular matrices., The \(k\)-zero-divisor hypergraph, Zero-divisor graphs of amalgamated duplication of a ring along an ideal, On the extended zero divisor graph of commutative rings, Complemented zero-divisor graphs and Boolean rings, Rings with property (A) and their extensions., Unnamed Item, ZERO DIVISOR GRAPHS OF LATTICES AND PRIMAL IDEALS, A note on total graph of ℤn, The weakly zero-divisor graph of a commutative ring, Distances in zero-divisor and total graphs from commutative rings -- a survey, The zero-divisor graph of an amalgamated algebra, A ZERO-DIVISOR GRAPH FOR MODULES WITH RESPECT TO THEIR (FIRST) DUAL, The graph of zero-divisors of quadratic quotients of Rees algebras, On the Annihilator Graph of a Commutative Ring, On Zero-Divisors in Skew Inverse Laurent Series Over NonCommutative Rings, Automorphism group of the one-divisor graph over the semigroup of upper triangular matrices, The total graph of a commutative ring, On strong \((A)\)-rings, On zero-divisors of near-rings of polynomials, The EA-dimension of a commutative ring, Unnamed Item, Automorphism group of an ideal-relation graph over a matrix ring, The annihilator graph of a 0-distributive lattice, Directed zero-divisor graph and skew power series rings, Unnamed Item, Zero-Divisor Graphs of Matrices Over Commutative Rings, Annihilating-ideal graphs with independence number at most four, On a new extension of the zero-divisor graph. II, Automorphism Group of the Rank-decreasing Graph Over the Semigroup of Upper Triangular Matrices, Divisor graph of the complement of Γ(R), Annihilator conditions on modules over commutative rings, SOME RESULTS ON ANNIHILATING IDEAL GRAPH OF COMMUTATIVE RINGS, On diameter of the zero-divisor and the compressed zero-divisor graphs of skew Laurent polynomial rings, SOME RESULTS ON THE COMPLEMENT OF THE ZERO-DIVISOR GRAPH OF A COMMUTATIVE RING, The diameter of the zero-divisor graph of an amalgamated algebra, On the Dot Product Graph of a Commutative Ring, Total graph of the ring ℤn × ℤm, THE ANNIHILATING-IDEAL GRAPH OF COMMUTATIVE RINGS I, THE ANNIHILATING-IDEAL GRAPH OF COMMUTATIVE RINGS II, ZERO-DIVISOR GRAPHS OF ÖRE EXTENSION RINGS, Unnamed Item, Classification of rings with toroidal co-annihilating-ideal graphs, On generalized power series rings with some restrictions on zero-divisors, On the diameter of compressed zero-divisor graphs of ore extensions, TOTAL GRAPHS OF POLYNOMIAL RINGS AND RINGS OF FRACTIONS, On the essential graph of a commutative ring



Cites Work