22 citations · 129 across the 18 of their papers we have counts for
Showing 2015 · math.RAShow all
3 papers · 2 filters
math.RA2015★ 6 cited
Semigroup graded algebras and graded PI-exponent
Alexey Gordienko, Geoffrey Janssens, Eric Jespers
Let be a finite semigroup and let be a finite dimensional -graded algebra. We investigate the exponential rate of growth of the sequence of graded codimensions $c_n^S(A)…
math.RA2015★ 4 cited
On -simple not necessarily associative algebras
Alexey Gordienko
An algebra A with a generalized H-action is a generalization of an H-module algebra where H is just an associative algebra with 1 and a relaxed compatibility condition between the…
math.RA2015★ 3 cited
Actions of Ore extensions and growth of polynomial -identities
Alexey Gordienko
We show that if is a finite dimensional associative -module algebra for an arbitrary Hopf algebra , then the proof of the analog of Amitsur's conjecture for -codimensi…