Some remarks on the compressed zero-divisor graph

DOI10.1016/J.JALGEBRA.2015.08.021zbMath1330.13003OpenAlexW2202298369MaRDI QIDQ897765

David F. Anderson, John D. LaGrange

Publication date: 7 December 2015

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2015.08.021

zbMATH Keywords

star graphzero-divisor graphcompressed zero-divisor graph

Mathematics Subject Classification ID

Commutative semigroups (20M14) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Ideals and multiplicative ideal theory in commutative rings (13A15) Graph theory (05C99) General commutative ring theory (13A99)

Related Items (27)

Unnamed Item ⋮ Zero-divisor graph of semisimple group-rings ⋮ Reduction graph and its application on algebraic graphs ⋮ The annihilation graphs of commutator posets and lattices with respect to an ideal ⋮ SEIDEL SPECTRUM OF THE ZERO-DIVISOR GRAPH ON THE RING OF INTEGERS MODULO n ⋮ The idempotent-divisor graphs of a commutative ring ⋮ The n-zero-divisor graph of a commutative semigroup ⋮ On torsion elements and their annihilators ⋮ Chordal and perfect zero-divisor graphs of posets and applications to graphs associated with algebraic structures ⋮ The compressed zero-divisor graphs of order 4 ⋮ On the diameter of the zero-divisor graph over skew PBW extensions ⋮ Adjacency-like conditions and induced ideal graphs ⋮ ZERO-DIVISOR GRAPH OF THE RINGS OF REAL MEASURABLE FUNCTIONS WITH THE MEASURES ⋮ Associate class graph of zero-divisors of a commutative ring ⋮ The Zero-Divisor Graph of a Commutative Semigroup: A Survey ⋮ Unnamed Item ⋮ Computing metric dimension of compressed zero divisor graphs associated to rings ⋮ The weakly zero-divisor graph of a commutative ring ⋮ Compressed zero-divisor graphs of matrix rings over finite fields ⋮ On the problem of zero-divisors in Artinian rings ⋮ Categorial properties of compressed zero-divisor graphs of finite commutative rings ⋮ The annihilation graphs of commutator posets and lattices with respect to an element ⋮ On the dot product graph of a commutative ring, II ⋮ Eigenvalues of zero-divisor graphs of finite commutative rings ⋮ On diameter of the zero-divisor and the compressed zero-divisor graphs of skew Laurent polynomial rings ⋮ Idempotent graphs, weak perfectness, and zero-divisor graphs ⋮ On the diameter of compressed zero-divisor graphs of ore extensions

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