caa a22 4500 605522782 CHVBK 20210128100746.0 cr unu---uuuuu 210128e20150601xx s 000 0 eng 10.1007/s10958-015-2393-6 doi (NATIONALLICENCE)springer-10.1007/s10958-015-2393-6 Graphs Defined by Orthogonality [Elektronische Daten] [B. Bakhadly, A. Guterman, O. Markova] The notion of graph generated by the mutual orthogonality relation for the elements of an associative ring is introduced. The main attention is paid to the commutative rings and to the matrix ring over a field and its various subrings and subsets. In particular, the diameters of the orthogonality graphs of the full matrix algebra over an arbitrary field and its subsets consisting of diagonal, diagonalizable, triangularizable, and nilpotent matrices are computed. Bibliography: 36 titles. Springer Science+Business Media New York, 2015 Bakhadly B. Lomonosov Moscow State University, Moscow, Russia aut Guterman A. Lomonosov Moscow State University, Moscow, Russia aut Markova O. Lomonosov Moscow State University, Moscow, Russia aut Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 207/5(2015-06-01), 698-717 1072-3374 207:5<698 2015 207 10958 https://doi.org/10.1007/s10958-015-2393-6 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-015-2393-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bakhadly B. Lomonosov Moscow State University, Moscow, Russia aut NATIONALLICENCE 700 1- Guterman A. Lomonosov Moscow State University, Moscow, Russia aut NATIONALLICENCE 700 1- Markova O. Lomonosov Moscow State University, Moscow, Russia aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 207/5(2015-06-01), 698-717 1072-3374 207:5<698 2015 207 10958