Abstract: | A new more visible formulation of a well-known theorem of Latyshev on the simplest identity in a nonmatrix manifold of associative algebras is presented, and a short proof of this theorem is given.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 132, pp. 12–16, 1983. |