On Commuting Graphs of Finite Matrix Rings
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Publication:3562312
DOI10.1080/00927870902911771zbMath1191.16019OpenAlexW1986154556MaRDI QIDQ3562312
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Publication date: 21 May 2010
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927870902911771
Endomorphism rings; matrix rings (16S50) Finite rings and finite-dimensional associative algebras (16P10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Algebraic systems of matrices (15A30)
Related Items (17)
Perfect codes and universal adjacency spectra of commuting graphs of finite groups ⋮ Automorphism group of the commuting graph of \(2\times 2\) matrix ring over \(\mathbb{Z}_{p^s}\) ⋮ Unnamed Item ⋮ On the lower bound for diameter of commuting graph of prime-square sized matrices ⋮ A note on a conjecture about commuting graphs ⋮ 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 ⋮ The orthogonality relation classifies finite-dimensional formally real simple Jordan algebras ⋮ The commuting graph of the ring M 3 (F q ) ⋮ Graphs defined by orthogonality. ⋮ Diameters of commuting graphs of matrices over semirings ⋮ On a conjecture about the commuting graphs of finite matrix rings ⋮ Some results on the intersection graph of ideals of matrix algebras ⋮ On diameter of components in commuting graphs ⋮ Various spectra and energies of commuting graphs of finite rings ⋮ Automorphism group of an ideal-relation graph over a matrix ring ⋮ Spectrum and genus of commuting graphs of some classes of finite rings
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