22 citations · 129 across the 18 of their papers we have counts for
Showing 2013 · math.RAShow all
3 papers · 2 filters
math.RA2013★ 7 cited
Algebras simple with respect to a Sweedler's algebra action
Alexey Sergeevich Gordienko
Algebras simple with respect to an action of Sweedler's algebra deliver the easiest example of -module algebras that are -simple but not necessarily semisimple. We desc…
math.RA2013
-modules and polynomial identities with integer coefficients
Alexey Gordienko, Geoffrey Janssens
We show that, like in the case of algebras over fields, the study of multilinear polynomial identities of unitary rings can be reduced to the study of proper polynomial identities.…
math.RA2013★ 22 cited
Co-stability of radicals and its applications to PI-theory
Alexey Sergeevich Gordienko
We prove that if A is a finite dimensional associative H-comodule algebra over a field F for some involutory Hopf algebra H not necessarily finite dimensional, where either char F…