FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2007, VOLUME 13, NUMBER 2, PAGES 157-183

On identities of right alternative metabelian Grassmann algebras

S. V. Pchelintsev

Abstract

View as HTML     View as gif image

The right alternative metabelian (solvable of index $2$) Grassmann algebras of rank $1$ and $2$ are studied. A basis of identities of a right alternative metabelian Grassmann algebra of rank $1$ is presented. Then it is proved that the variety generated by the indicated algebra has almost finite topological rank. It is also shown that the variety generated by a Grassmann algebra of rank $2$ is not Spechtian.

Location: http://mech.math.msu.su/~fpm/eng/k07/k072/k07207h.htm
Last modified: May 23, 2007