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Subrings of Invariants for Actions of Finite-Dimensional Hopf AlgebrasThis paper is a survey of recent works on invariants of actions of Hopf algebras. Its highlights
Structure of H-semiprime artinian algebrasLet H be a Hopf algebra over a field. It is proved that every H-semiprime right artinian left H-module
Coring stabilizers for a Hopf algebra coaction of the category of Hopf modules. Birational invariance of such quotient categories is proved. It is shown
Flatness of Noetherian Hopf algebras over coideal subalgebras-dimensional Hopf algebra H is a flat module over any right Noetherian right coideal subalgebra A. In the case when
Structure of H-semiprime artinian algebrasLet H be a Hopf algebra over a field. It is proved that every H-semiprime right artinian left H-module
Hopf algebra orbits on the prime spectrum of a module algebraFor a Hopf algebra H and an H-module algebra A module-finite over its center it is proved
Coring stabilizers for a Hopf algebra coaction of the category of Hopf modules. Birational invariance of such quotient categories is proved. It is shown
The left and right dimensions of a skew field over the subfield of invariants© 2017 Elsevier Inc.If H is a Hopf algebra and A an H-module algebra without nontrivial H
Invariants of the action of a semisimple finite-dimensional Hopf algebra on special algebras of a finite-dimensional semisimple Hopf algebra H on a special algebra A, which is homomorphically
Hopf algebra orbits on the prime spectrum of a module algebraFor a Hopf algebra H and an H-module algebra A module-finite over its center it is proved
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