2022/08/05 by O. G. Styrt, Styrt, O. G.
Business, Management and Accounting · Computer Science · Engineering · #05C12 #05C25 #05C40 #13A70 #Algebraic Geometry (math.AG) #Enterprise Management and Information Systems #FOS: Mathematics #Intuitionistic Fuzzy Systems Applications #Rings and Algebras (math.RA) #graph theory and CDMA systems
paper · pdf · doi:10.48550/arxiv.2208.03039
openalex publication_date 2022/08/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The paper is devoted to studying the orthogonality graph of the matrix ring over a commutative ring. It is proved that the orthogonality graph of the ring of matrices with size greater than 1 over a commutative ring with zero-divisors is connected and has diameter 3 or 4; a criterion for each value is obtained. It is also shown that each of its vertices has distance at most 2 from some scalar matrix.