Automorphisms of the zero-divisor graph of 2 × 2 matrix ring over ℤps

DOI10.1142/S0219498817502279zbMath1375.05136MaRDI QIDQ4594956

Hengbin Zhang, Gaohua Tang, Ji Zhu Nan

Publication date: 27 November 2017

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

automorphismzero-divisor graphmatrix ring

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Directed graphs (digraphs), tournaments (05C20) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60)

Related Items (4)

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 ⋮ 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

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
• Zero-divisor graphs, von Neumann regular rings, and Boolean algebras.
• On 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
• Zero-Divisor Graphs of Matrices Over Commutative Rings
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