The Lattice of Subvarieties of the Variety Defined by Externally Compatible Identities of Abelian Groups of Exponent n

Abstract

The lattices of varieties were studied in many works (see [4], [5], [11], [24], [31]). In this paper we describe the lattice of all subvarieties of the variety G n Ex defined by so called externally compatible identities of Abelian groups and the identity x n ≈ y n .The notation in this paper is the same as in [2].