The commuting graph of the ring M 3 (F q )

DOI10.1080/03081087.2022.2149690zbMath1530.05080OpenAlexW4309858941MaRDI QIDQ6177665

Raoufeh Manaviyat, H. R. Dorbidi

Publication date: 17 January 2024

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2022.2149690

zbMATH Keywords

finite fieldcentralizercommuting graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Finite-dimensional division rings (16K20) General commutative ring theory and combinatorics (zero-divisor graphs, annihilating-ideal graphs, etc.) (13A70)

Cites Work

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• A matrix ring with commuting graph of maximal diameter
• On diameter of components in commuting graphs
• On the diameters of commuting graphs
• On diameter of the commuting graph of a full matrix algebra over a finite field
• Commuting graphs of full matrix rings over finite fields.
• On a conjecture about the commuting graphs of finite matrix rings
• On commuting graphs of semisimple rings
• On the diameter of the commuting graph of the full matrix ring over the real numbers
• Commuting graphs of some subsets in simple rings
• Commuting Graphs of Matrix Algebras
• On Commuting Graphs of Finite Matrix Rings
• A Simple Proof of a Theorem of Schur
• On the lower bound for diameter of commuting graph of prime-square sized matrices

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