S. G. Kolesnikov, N. V. Mal'tsev, “Derivations of a matrix ring containing a subring of triangular matrices”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, Number 11,Pages <nobr>23

This article is cited in 6 papers

Derivations of a matrix ring containing a subring of triangular matrices

S. G. Kolesnikov^a, N. V. Mal'tsev^b

^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.

UDC: 512.54

Received: 22.10.2010