1 citations · 1 across the 2 of their papers we have counts for
7 papers
Graded group actions and generalized -actions compatible with gradings
A. S. Gordienko
We introduce the notion of a graded group action on a graded algebra or, which is the same, a group action by graded pseudoautomorphisms. An algebra with such an action is a natura…
(Co)module algebras and their generalizations
Alexey Gordienko
This manuscript is an extended version of the author's habilitation thesis defended on May 21, 2021 at M.V. Lomonosov Moscow State University. It is devoted to the study of (co)sta…
-universal Hopf algebras (co)acting on -algebras
Ana Agore, Alexey Gordienko, Joost Vercruysse
We develop a theory which unifies the universal (co)acting bi/Hopf algebras as studied by Sweedler, Manin and Tambara with the recently introduced \cite{AGV1} bi/Hopf-algebras that…
Equivalences of (co)module algebra structures over Hopf algebras
Ana Agore, Alexey Gordienko, Joost Vercruysse
We introduce the notion of support equivalence for (co)module algebras (over Hopf algebras), which generalizes in a natural way (weak) equivalence of gradings. We show that for eac…
Categories and weak equivalences of graded algebras
Alexey Gordienko, Ofir Schnabel
When one studies the structure (e.g. graded ideals, graded subspaces, radicals, ...) or graded polynomial identities of graded algebras, the grading group itself does not play an i…
Lie algebras simple with respect to a Taft algebra action
Alexey Gordienko
We classify finite dimensional -simple -module Lie algebras over an algebraically closed field of characteristic where is the th Taf…