22 citations · 129 across the 18 of their papers we have counts for
5 papers · 1 filter
Asymptotics of H-identities for associative algebras with an H-invariant radical
Alexey Sergeevich Gordienko
We prove the existence of the Hopf PI-exponent for finite dimensional associative algebras with a generalized Hopf action of an associative algebra with over an algebra…
On the formula for the PI-exponent of Lie algebras
Alexey Sergeevich Gordienko
We prove that one of the conditions in M.V. Zaicev's formula for the PI-exponent and in its natural generalization for the Hopf PI-exponent, can be weakened. Using the modification…
Derivations, gradings, actions of algebraic groups, and codimension growth of polynomial identities
A. S. Gordienko, M. V. Kochetov
Suppose a finite dimensional semisimple Lie algebra acts by derivations on a finite dimensional associative or Lie algebra over a field of characteristic . We…
Amitsur's conjecture for polynomial H-identities of H-module Lie algebras
Alexey Sergeevich Gordienko
Consider a finite dimensional H-module Lie algebra L over a field of characteristic 0 where H is a Hopf algebra. We prove the analog of Amitsur's conjecture on asymptotic behavior…
Amitsur's conjecture for associative algebras with a generalized Hopf action
Alexey Sergeevich Gordienko
We prove the analog of Amitsur's conjecture on asymptotic behavior for codimensions of several generalizations of polynomial identities for finite dimensional associative algebras…