11 citations · 61 across the 21 of their papers we have counts for
23 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…
Codimensions of identities of solvable Lie superalgebras
M. V. Zaicev, D. D. Repovš
We study identities of Lie superalgebras over a field of characteristic zero. We construct a series of examples of finite-dimensional solvable Lie superalgebras with a non-nilpoten…
On existence of PI-exponent of algebras with involution
Dušan D. Repovš, Mikhail V. Zaicev
We study polynomial identities of algebras with involution of nonassociative algebras over a field of characteristic zero. We prove that the growth of the sequence of -codimensi…
On existence of PI-exponents of unital algebras
Dušan D. Repovš, Mikhail V. Zaicev
We construct a family of unital non-associative algebras such that , whereas . In particular,…
Combinatorics of binary words and codimensions of identities in left nilpotent algebras
Mikhail V. Zaicev, Dušan D. Repovš
Numerical characteristics of polynomial identities of left nilpotent algebras are examined. Previously, we came up with a construction which, given an infinite binary word, allowed…
Codimension growth of solvable Lie superalgebras
Dušan D. Repovš, Mikhail V. Zaicev
We study numerical invariants of identities of finite-dimensional solvable Lie superalgebras. We define new series of finite-dimensional solvable Lie superalgebras with non-nil…