1 citations · 3 across the 9 of their papers we have counts for
9 papers
Categories and functors of universal algebraic geometry. Automorphic equivalence of algebras
A. Tsurkov
Universal algebraic geometry allows considering of geometric properties of every universal algebra. When two algebras have same algebraic geometry? We must consider the categories…
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…
Automorphic Equivalence in the Varieties of Representations of Lie algebras
A. Tsurkov
In this paper we consider the very wide class of varieties of representations of Lie algebras over the field k, which has characteristic 0. We study the relation between the geomet…
Automorphic Equivalence in the Classical 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…
Automorphic Equivalence of Many-Sorted Algebras
A. Tsurkov
In the first part of our paper (Sections 1, 2 and 3) we reprove results of B. Plotkin, G. Zhitomirski. On automorphisms of categories of free algebras of some varieties, Journal of…