Abstract:
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.