Sib. Èlektron. Mat. Izv., 2017 Volume 14, Pages 1373–1379
(Mi semr877)
|
Mathematical logic, algebra and number theory
On finite rings in which nilpotent graphs satisfy the Dirac’s condition
Yu. N. Maltsev,
A. S. Monastyreva Altai State Pedagogical University,
55, Molodeghnaya st.,
Barnaul, Russia, 656031
Abstract:
We describe all associative finite rings in which nilpotent graphs satisfy the Dirac’s condition.
Keywords:
associative ring, finite ring, nilpotent graph, the Dirac’s theorem.
UDC:
512.552
MSC: 16P10 Received June 26, 2017, published
December 8, 2017
DOI:
10.17377/semi.2017.14.118
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