4 papers
IBN-varieties of algebras
A. Tsurkov
The concept of variety with IBN (invariant basic number) propriety first appeared in ring theory. But we can define this concept for arbitrary variety of universal algebras with ar…
Automorphisms of the category of finitely generated free groups of the some subvariety of the variety of all groups
R. Barbosa Fernandes, A. Tsurkov
In universal algebraic geometry the category of the finite generated free algebras of some fixed variety of algebras and the quotient group A/Y are very important. Here A is a grou…
Strongly Stable Automorphisms of the Categories of the Finitely Generated Free Algebras of the some Varieties of Linear Algebras
A. Tsurkov
In this paper we consider some classical varieties of linear algebras over the field which has characteristic 0. For every considered variety we take a category of the finite gener…
The problem of the classification of the nilpotent class 2 torsion free groups up to the geometrically equivalence
A. Tsurkov
In this paper we consider the problem of classification of the nilpotent class 2 finitely generated torsion free groups up to the geometric equivalence. By a very easy technique it…