Automorphisms of the zero-divisor graph of the full matrix ring

DOI10.1080/03081087.2016.1219302zbMath1365.05116OpenAlexW2492129437MaRDI QIDQ2979478

Dein Wong, Jinming Zhou, Xiaobin Ma

Publication date: 25 April 2017

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2016.1219302

zbMATH Keywords

automorphismsdirected graphsmatrix ringszero-divisor graphs

Mathematics Subject Classification ID

Directed graphs (digraphs), tournaments (05C20) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60)

Related Items (7)

On automorphism group of orthogonality graph of finite semisimple rings ⋮ The automorphism group of the zero-divisor digraph of matrices over an antiring ⋮ Automorphisms of the zero-divisor graph of 2 × 2 matrix ring over ℤps ⋮ The automorphism group and fixing number of the orthogonality graph of the full matrix ring ⋮ The automorphism group of zero-divisor graph of a finite semisimple ring ⋮ Automorphism group and fixing number of the orthogonality graph based on rank one upper triangular matrices ⋮ Domination numbers and automorphisms of dual graphs over vector spaces

Cites Work

• The group of automorphisms of a zero-divisor graph based on rank one upper triangular matrices
• A note on automorphisms of the zero-divisor graph of upper triangular matrices.
• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• Zero divisor graphs of semigroups.
• The zero-divisor graph of a commutative semigroup
• Zero-divisor graphs, von Neumann regular rings, and Boolean algebras.
• Zero-divisor graphs of non-commutative rings.
• The diameter of a zero divisor graph
• AUTOMORPHISMS OF THE ZERO-DIVISOR GRAPH OVER 2 × 2 MATRICES
• Zero-Divisor Graphs of Polynomials and Power Series Over Commutative Rings

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