35 citations · 210 across the 68 of their papers we have counts for
76 papers
Weak central polynomials for algebras of multiplications of simple algebras
Vesselin Drensky, Mikhail Zaicev
We give a simple proof for the existence of weak central polynomials for the algebra of multiplications of a finite-dimensional simple (non-associative) algebra. As an example we p…
Varieties of bicommutative algebras with identity of degree three
Vesselin Drensky, Bekzat Zhakhayev
The variety of bicommutative algebras is the class of all nonassociative algebras satisfying the polynomial identities and . In t…
Finite basis problem for varieties of algebraic systems
Vesselin Drensky
This is a survey on the finite basis problem for varieties of algebraic systems. Our exposition is in two directions: (i) We give numerous examples of varieties which are not finit…
On cyclic invariants of the free associative algebra
Silvia Boumova, Vesselin Drensky
Let be the free associative algebra of rank over a field . Lane in 1976 and Kharchenko in 1978 proved that the algebra of invariants $K\langle X…
On dihedral invariants of the free associative algebra of rank two
Silvia Boumova, Vesselin Drensky, Şehmus Fındık
Let denote the free associative algebra of rank over a field . By results of Lane (1976) and Kharchenko (1978), the algebra of invariants $K\lan…
Varieties of associative algebras with an identity of third degree
Lyubov A. Vladimirova, Vesselin S. Drensky
We give a complete description of the varieties of associative algebras over a field of characteristic zero which satisfy a polynomial identity of third degree.