Zero Divisor Graphs of Upper Triangular Matrix Rings

DOI10.1080/00927872.2012.706841zbMath1291.16023OpenAlexW2193118524MaRDI QIDQ2863671

Aihua Li, Ralph P. Tucci

Publication date: 25 November 2013

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2012.706841

zbMATH Keywords

zero-divisor graphsupper triangular matrix ringsnumbers of edgesfinite integral domains

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Integral domains (13G05)

Related Items

Automorphisms of the zero-divisor graph of the ring of all \(n\times n\) matrices over a finite field, Hamiltonian trace graph of matrices, The group of automorphisms of a zero-divisor graph based on rank one upper triangular matrices, A Note on the Uniqueness of Zero-Divisor Graphs with Loops (Research), Rings in which every left zero-divisor is also a right zero-divisor and conversely, Automorphism group of rank-decreasing graph of matrices, Zero-divisor graph of matrix rings and Hurwitz rings, Automorphism group of the one-divisor graph over the semigroup of upper triangular matrices, Automorphism group of an ideal-relation graph over a matrix ring, Automorphisms of the subgroup-relation graph over the group of unit upper triangular matrices, 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, Zero Divisor Graphs of Finite Direct Products of Finite Rings

Cites Work

• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• Beck's coloring of a commutative ring
• On zero-divisor graphs of finite rings.
• The Zero-Divisor Graph Associated to a Semigroup
• THE ZERO-DIVISOR GRAPHS OF RINGS AND SEMIRINGS
• On the Zero-Divisor Graph of a Ring
• Zero-Divisor Graphs of Matrices Over Commutative Rings
• Zero Divisors in Commutative Rings
• Unnamed Item