THE ZERO-DIVISOR GRAPH UNDER GROUP ACTIONS IN A NONCOMMUTATIVE RING

DOI10.4134/JKMS.2008.45.6.1647zbMath1213.05115OpenAlexW2153690070MaRDI QIDQ3602137

Juncheol Han

Publication date: 12 February 2009

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

Full work available at URL: https://doi.org/10.4134/jkms.2008.45.6.1647

zbMATH Keywords

orbitgraph automorphisms groupleft (resp. right) regular actionconnected (resp. complete) zero-divisor graph

Mathematics Subject Classification ID

Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Directed graphs (digraphs), tournaments (05C20)

Related Items (15)

Automorphisms of the zero-divisor graph of the ring of all \(n\times n\) matrices over a finite field ⋮ On total directed graphs of non-commutative rings ⋮ The automorphism group of the zero-divisor digraph of matrices over an antiring ⋮ 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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