The automorphism group of zero-divisor graph of a finite semisimple ring

DOI10.1080/00927872.2020.1713330zbMath1454.05053OpenAlexW3002778740MaRDI QIDQ5112763

Fenglei Tian, Shikun Ou, Dengyin Wang

Publication date: 8 June 2020

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

Full work available at URL: https://doi.org/10.1080/00927872.2020.1713330

zbMATH Keywords

automorphism groupsdigraphszero-divisor graphs

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Linear preserver problems (15A86) General commutative ring theory and combinatorics (zero-divisor graphs, annihilating-ideal graphs, etc.) (13A70)

Related Items (3)

On automorphism group of orthogonality graph of finite semisimple rings ⋮ The automorphism group and fixing number of the orthogonality graph of the full matrix ring ⋮ Automorphism group and fixing number of the orthogonality graph based on rank one upper triangular matrices

Cites Work

• Automorphisms of the zero-divisor graph of the ring of all \(n\times n\) matrices over a finite field
• 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
• On zero-divisor graphs of finite rings.
• Zero-divisor graphs of non-commutative rings.
• AUTOMORPHISMS OF THE ZERO-DIVISOR GRAPH OVER 2 × 2 MATRICES
• Automorphisms of the zero-divisor graph of the full matrix ring
• Automorphisms of the zero-divisor graph of 2 × 2 matrix ring over ℤps
• Automorphism group of rank-decreasing graph of matrices
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