192 citations · 3.7k across the 290 of their papers we have counts for
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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…
-graded codimensions of unital algebras
Dušan D. Repovš, Mikhail V. Zaicev
We study polynomial identities of nonassociative algebras constructed by using infinite binary words and their combinatorial properties. Infinite periodic and Sturmian words were f…
Pauli gradings on Lie superalgebras and graded codimension growth
Dušan D. Repovš, Mikhail V. Zaicev
We introduce grading on certain finite dimensional simple Lie superalgebras of type by elementary abelian 2-group. This grading gives rise to Pauli matrices and is a far gen…