THE GROUP OF GRAPH AUTOMORPHISMS OVER A MATRIX RING

DOI10.4134/JKMS.2011.48.2.301zbMath1216.05057MaRDI QIDQ3082881

Sangwon Park, Juncheol Han

Publication date: 17 March 2011

Published in: Journal of the Korean Mathematical Society (Search for Journal in Brave)

Full work available at URL: http://www.mathnet.or.kr/mathnet/kms_content.php?no=402822

zbMATH Keywords

orbitzero-divisor graphgraph automorphisms groupleft (resp. right) regular action

Mathematics Subject Classification ID

Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (17)

Automorphisms of the zero-divisor graph of the ring of all \(n\times n\) matrices over a finite field ⋮ On automorphism group of orthogonality graph of finite semisimple rings ⋮ Automorphism group of the intersection graph of ideals over a matrix ring ⋮ The automorphism group of the zero-divisor digraph of matrices over an antiring ⋮ Automorphisms of symplectic totally isotropic subspace inclusion graph ⋮ The group of automorphisms of a zero-divisor graph based on rank one upper triangular matrices ⋮ Automorphism group of the total graph over a matrix ring ⋮ Generators of the automorphism group of a regular graph over a ring ⋮ Automorphism group of rank-decreasing graph of matrices ⋮ A note on automorphisms of the zero-divisor graph of upper triangular matrices. ⋮ Automorphism group of the one-divisor graph over the semigroup of upper triangular matrices ⋮ Automorphism group of the subspace inclusion graph of a vector space ⋮ Automorphism group of an ideal-relation graph over a matrix ring ⋮ Isomorphisms between Jacobson graphs ⋮ Automorphism Group of the Rank-decreasing Graph Over the Semigroup of Upper Triangular Matrices ⋮ The Zero Divisor Graph of 2 × 2 Matrices Over a Field ⋮ Automorphism group of the symmetry trace graph of real matrices

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