Derivations of a~matrix ring containing a~subring of triangular matrices
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2011), pp. 23-33
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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.
@article{IVM_2011_11_a2,
author = {S. G. Kolesnikov and N. V. Mal'tsev},
title = {Derivations of a~matrix ring containing a~subring of triangular matrices},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {23--33},
publisher = {mathdoc},
number = {11},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2011_11_a2/}
}
TY - JOUR AU - S. G. Kolesnikov AU - N. V. Mal'tsev TI - Derivations of a~matrix ring containing a~subring of triangular matrices JO - Izvestiâ vysših učebnyh zavedenij. Matematika PY - 2011 SP - 23 EP - 33 IS - 11 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IVM_2011_11_a2/ LA - ru ID - IVM_2011_11_a2 ER -
S. G. Kolesnikov; N. V. Mal'tsev. Derivations of a~matrix ring containing a~subring of triangular matrices. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2011), pp. 23-33. http://geodesic.mathdoc.fr/item/IVM_2011_11_a2/