Commuting Graphs of Matrix Algebras
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Publication:3548572
DOI10.1080/00927870802174538zbMath1151.05035OpenAlexW2052166902MaRDI QIDQ3548572
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Publication date: 16 December 2008
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927870802174538
Finite rings and finite-dimensional associative algebras (16P10) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Commutativity of matrices (15A27)
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Invertible matrices over a class of semirings ⋮ A matrix ring with commuting graph of maximal diameter ⋮ Higher-distance commuting varieties ⋮ Automorphism group of the commuting graph of \(2\times 2\) matrix ring over \(\mathbb{Z}_{p^s}\) ⋮ On the diameter of the commuting graph of the matrix ring over a centrally finite division ring ⋮ On the diameters of commuting graphs ⋮ Distances on the commuting graph of the ring of real matrices ⋮ On the lower bound for diameter of commuting graph of prime-square sized matrices ⋮ On diameters estimations of the commuting graphs of Sylow $p$-subgroups of the symmetric groups ⋮ A note on a conjecture about commuting graphs ⋮ Hamiltonian trace graph of matrices ⋮ Regular Hom-Lie structures on Borel subalgebras of finite-dimensional simple Lie algebras ⋮ Automorphisms of a commuting graph of rank one upper triangular matrices ⋮ On diameter of the commuting graph of a full matrix algebra over a finite field ⋮ Correlation matrices of Gaussian Markov random fields over cycle graphs ⋮ Domination in commuting graph and its complement ⋮ The automorphism group and fixing number of the orthogonality graph of the full matrix ring ⋮ Cayley-Dickson split-algebras: doubly alternative zero divisors and relation graphs ⋮ The commuting graph of the ring M 3 (F q ) ⋮ Graphs defined by orthogonality. ⋮ Commuting graphs of generalized dihedral groups ⋮ On a conjecture about the commuting graphs of finite matrix rings ⋮ On diameter of components in commuting graphs ⋮ Relationship graphs of real Cayley-Dickson algebras ⋮ Commuting Graphs of Group Algebras ⋮ An alternative construction of graphs by associating with algorithmic approach on MV-algebras
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