Automorphisms of the co-maximal ideal graph over matrix ring

DOI10.1142/S0219498817502267zbMath1375.05135MaRDI QIDQ4594955

Dengyin Wang, Li Chen, Fenglei Tian

Publication date: 27 November 2017

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

automorphismsmatrix ringco-maximal ideal graph

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Finite rings and finite-dimensional associative algebras (16P10) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Other matrix groups over fields (20H20)

Related Items (2)

Automorphism group of the intersection graph of ideals over a matrix ring ⋮ Automorphisms of the total graph over upper triangular matrices

Cites Work

• On the inclusion ideal graph of a ring.
• Automorphisms of the zero-divisor graph of the ring of all \(n\times n\) matrices over a finite field
• A note on automorphisms of the zero-divisor graph of upper triangular matrices.
• Graphs associated to co-maximal ideals of commutative rings
• Co-maximal graph of non-commutative rings
• The zero-divisor graph of a commutative ring
• Co-maximal ideal graphs of matrix algebras
• A note on graphical representation of rings
• A note on comaximal graph of non-commutative rings
• Comaximal graph of commutative rings
• Symplectic graphs and their automorphisms
• CO-MAXIMAL IDEAL GRAPHS OF COMMUTATIVE RINGS
• SOME RESULTS ON THE INTERSECTION GRAPHS OF IDEALS OF RINGS
• Graph properties of co-maximal ideal graphs of commutative rings
• The Inclusion Ideal Graph of Rings
• Intersection graphs of ideals of rings

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