11 citations · 21 across the 4 of their papers we have counts for
4 papers
On noetherianity for logical formulas over fields
Aivars Berzins
In this paper we consider noetherianity for formulas of propositional and predicate calculus over different fields. Three types of noetherianity are considered: standard noetherian…
Automorphisms of the semigroup of endomorphisms of free associative algebras
A. Kanel-Belov, A. Berzins, R. Lipyanski
Let be a free associative algebra in freely generated over by a set , be the semigroup of endomorphisms of $…
The group of automorphisms of semigroup End
Aivars Berzins
In this paper is proved that the group of automorphisms of semigroup End(P[X]), if P is algebraically closed field, is generated by semi-inner automorphisms.
The group of automorphisms of the category of free associative algebras
Aivars Berzins
In this paper, the problem formulated in [8] is solved. We prove, that the group of automorphisms of the category of free associative algebras is generated by semi-inner and mirror…