Automorphism group of rank-decreasing graph of matrices
From MaRDI portal
Publication:5384643
DOI10.1080/00927872.2018.1552287zbMath1414.05144OpenAlexW2912185323MaRDI QIDQ5384643
Publication date: 24 June 2019
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927872.2018.1552287
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)
Related Items
The automorphism group of zero-divisor graph of a finite semisimple ring ⋮ Automorphisms of the total graph over upper triangular matrices
Cites Work
- Unnamed Item
- A matrix ring with commuting graph of maximal diameter
- Automorphisms of the zero-divisor graph of the ring of all \(n\times n\) matrices over a finite field
- Rank-metric codes and their duality theory
- 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.
- Minimal paths in the commuting graphs of semigroups
- The clique numbers of regular graphs of matrix algebras are finite
- The total graph and regular graph of a commutative ring
- The total graph of a commutative ring
- 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 commuting graphs of semisimple rings
- On the chromatic number of regular graphs of matrix algebras
- On zero-divisor graphs of finite rings.
- Chromatic number and clique number of subgraphs of regular graph of matrix algebras
- On directed zero-divisor graphs of finite rings
- Zero-divisor graphs of non-commutative rings.
- Non-commuting graph of a group.
- The diameter of a zero divisor graph
- The connectivity of commuting graphs
- AUTOMORPHISMS OF THE ZERO-DIVISOR GRAPH OVER 2 × 2 MATRICES
- Automorphism Group of the Rank-decreasing Graph Over the Semigroup of Upper Triangular Matrices
- 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
This page was built for publication: Automorphism group of rank-decreasing graph of matrices