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- Title
Orthogonality Graphs of Direct Sums of Rings and Semisimple Artinian Rings.
- Authors
Markova, O. V.; Novochadov, D. Yu.
- Abstract
The paper studies the orthogonality relation graphs for noncommutative rings. Known results on the diameters of the connected components of simple Artinian rings are generalized to larger ring classes, particularly, to semisimple Artinian and semiprime two-sided Goldie rings. Also the presence of isolated vertices in the graphs of the above ring classes is considered, and the behavior of the diameter function under taking a direct sum for pairs of arbitrary rings is studied.
- Subjects
ARTIN rings; NONCOMMUTATIVE rings; SEMISIMPLE Lie groups
- Publication
Journal of Mathematical Sciences, 2023, Vol 272, Issue 4, p574
- ISSN
1072-3374
- Publication type
Article
- DOI
10.1007/s10958-023-06451-9