Orthogonality graphs of matrices over skew fields

DOI10.1007/s10958-018-3909-7zbMath1419.05125OpenAlexW2809830782WikidataQ129648524 ScholiaQ129648524MaRDI QIDQ1662018

Alexander E. Guterman, O. V. Markova

Publication date: 17 August 2018

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-018-3909-7

zbMATH Keywords

orthogonality graphs of simple Artinian rings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (3)

Orthograph related to mutual strong Birkhoff-James orthogonality in \(C^*\)-algebras ⋮ Cayley-Dickson split-algebras: doubly alternative zero divisors and relation graphs ⋮ Orthogonality graphs of direct sums of rings and semisimple Artinian rings

Cites Work

• On the diameters of commuting graphs
• Graphs defined by orthogonality.
• The zero-divisor graph of a commutative ring
• On the zero-divisor graph of a commutative ring
• On commuting graphs of semisimple rings
• The method of orthogonal completeness in the structure theory of rings
• Automorphisms of the poset of skew projections
• Zero-divisor graphs of non-commutative rings.
• Orthogonal completeness and algebraic systems
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