Let $ G $ be a finite group and $ A $ a finite dimensional $ G $-graded algebra over a field of
characteristic zero. When $ A $ is simple as a $ G $-graded algebra, by means of Regev …

We prove the analog of Amitsur's conjecture on asymptotic behavior for codimensions of
several generalizations of polynomial identities for finite dimensional associative algebras …

Can one compute the exponential rate of growth of the⁎-codimensions of a PI-algebra with
involution⁎ over a field of characteristic zero? It was shown in [2] that any such algebra A …

One of the main problems in PI-theory is to prove the rationality of the Hilbert series of the
relatively free algebra of a given PI-algebra. In this paper we consider a field F of …

Let F be a field of characteristic zero and pa prime. In the present paper it is proved that a
variety of Z p-graded associative PI F-algebras of finite basic rank is minimal of fixed Z p …

Let F be a field containing a primitive m-th root of the unit. We characterize the actions of a
Taft's algebra H m of a certain order m on finite dimensional arbitrary algebras. We describe …

Let A be a superalgebra with superinvolution over a field of characteristic zero and let
cn⁎(A), n= 1, 2,…, be its sequence of⁎-codimensions. In [6] it was proved that such a …

We prove the existence of the Hopf PI-exponent for finite dimensional associative algebras A
with a generalized Hopf action of an associative algebra H with 1 over an algebraically …

Suppose a finite dimensional semisimple Lie algebra \mathfrakg acts by derivations on a
finite dimensional associative or Lie algebra A over a field of characteristic 0. We prove the …

Let A be an algebra over a field of characteristic 0 and assume A is graded by a finite group
G. We study combinatorial and asymptotic properties of the G-graded polynomial identities …