Graphs Defined by Orthogonality

Verfasser / Beitragende:
[B. Bakhadly, A. Guterman, O. Markova]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 207/5(2015-06-01), 698-717
Format:
Artikel (online)
ID: 605522782
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024 7 0 |a 10.1007/s10958-015-2393-6  |2 doi 
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245 0 0 |a Graphs Defined by Orthogonality  |h [Elektronische Daten]  |c [B. Bakhadly, A. Guterman, O. Markova] 
520 3 |a 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. 
540 |a Springer Science+Business Media New York, 2015 
700 1 |a Bakhadly  |D B.  |u Lomonosov Moscow State University, Moscow, Russia  |4 aut 
700 1 |a Guterman  |D A.  |u Lomonosov Moscow State University, Moscow, Russia  |4 aut 
700 1 |a Markova  |D O.  |u Lomonosov Moscow State University, Moscow, Russia  |4 aut 
773 0 |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 207/5(2015-06-01), 698-717  |x 1072-3374  |q 207:5<698  |1 2015  |2 207  |o 10958 
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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
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950 |B NATIONALLICENCE  |P 700  |E 1-  |a Bakhadly  |D B.  |u Lomonosov Moscow State University, Moscow, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Guterman  |D A.  |u Lomonosov Moscow State University, Moscow, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Markova  |D O.  |u Lomonosov Moscow State University, Moscow, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 207/5(2015-06-01), 698-717  |x 1072-3374  |q 207:5<698  |1 2015  |2 207  |o 10958