Automorphism group of the one-divisor graph over the semigroup of upper triangular matrices

DOI10.1142/S0219498821502145zbMath1480.05071OpenAlexW3044590020MaRDI QIDQ5163448

Xinlei Wang, Fenglei Tian, Dein Wong

Publication date: 4 November 2021

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

Full work available at URL: https://doi.org/10.1142/s0219498821502145

zbMATH Keywords

directed graphszero-divisor graphsgraph automorphisms

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Finite fields and commutative rings (number-theoretic aspects) (11T99) Directed graphs (digraphs), tournaments (05C20) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60) Group actions on combinatorial structures (05E18)

Cites Work

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• On zero-divisor graphs of finite rings.
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• Zero Divisor Graphs of Upper Triangular Matrix Rings
• THE GROUP OF GRAPH AUTOMORPHISMS OVER A MATRIX RING
• Automorphism Group of Generalized Cayley Graph of Upper Triangular Matrices
• THE ZERO-DIVISOR GRAPH UNDER GROUP ACTIONS IN A NONCOMMUTATIVE RING
• Zero-Divisor Graphs of Matrices Over Commutative Rings
• THE ZERO-DIVISOR GRAPH OF VON NEUMANN REGULAR RINGS
• Zero-Divisor Graphs of Polynomials and Power Series Over Commutative Rings

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