Automorphism Group of the Rank-decreasing Graph Over the Semigroup of Upper Triangular Matrices

DOI10.1080/00927872.2015.1087017zbMath1343.05081OpenAlexW2400928138MaRDI QIDQ2817210

Fenglei Tian, Dengyin Wang, Xiaobin Ma

Publication date: 29 August 2016

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

Full work available at URL: https://doi.org/10.1080/00927872.2015.1087017

zbMATH Keywords

directed graphszero-divisor graphsgraph automorphisms

Mathematics Subject Classification ID

Related Items (3)

Automorphisms of the total graph over upper triangular matrices ⋮ Automorphism group of rank-decreasing graph of 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.
• On the diameter and girth of a zero-divisor graph
• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• Beck's coloring of a commutative ring
• Zero-divisor graphs, von Neumann regular rings, and Boolean algebras.
• On zero-divisor graphs of finite rings.
• On directed zero-divisor graphs of finite rings
• The diameter of a zero divisor graph
• Zero Divisor Graphs of Upper Triangular Matrix Rings
• THE GROUP OF GRAPH AUTOMORPHISMS OVER A MATRIX RING
• 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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