Наука и техника (Apr 2006)

ON NILALGEBRAS OVER INFINITE FIELD WITH SOLVABLE ASSOCIATED GROUP

  • M. B. Smirnov

DOI
https://doi.org/10.21122/2227-1031-2006-0-2-66-68
Journal volume & issue
Vol. 0, no. 2
pp. 66 – 68

Abstract

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It is proved that if an associated group A* of a nilalgebra A over an infinite field is solvable of class n then algebra A is solvable of the same class n as the Lie algebra.