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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 11, Pages 23–33
(Mi ivm8391)
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This article is cited in 6 scientific papers (total in 6 papers)
Derivations of a matrix ring containing a subring of triangular matrices
S. G. Kolesnikova, N. V. Mal'tsevb a Institute of Mathematics, Siberian Federal University, Krasnoyarsk, Russia
b Institute of Core Undergraduate Programms, Siberian Federal University, Krasnoyarsk, Russia
Abstract:
We describe the derivations (including Jordan and Lie ones) for any ring $S$ of finitary matrices over an associative ring with identity element provided that $S$ contains all triangular finitary matrices.
Keywords:
finitary matrix, derivation of ring, Jordan and Lie derivations of ring.
Received: 22.10.2010
Citation:
S. G. Kolesnikov, N. V. Mal'tsev, “Derivations of a matrix ring containing a subring of triangular matrices”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 11, 23–33; Russian Math. (Iz. VUZ), 55:11 (2011), 18–26
Linking options:
https://www.mathnet.ru/eng/ivm8391 https://www.mathnet.ru/eng/ivm/y2011/i11/p23
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