منابع مشابه
Stabilizer for Hopf Algebra Actions
The definition of stabilizer and orbit for Hopf algebra action is given, and a duality theorem on stabilizer is proved.
متن کاملGorenstein global dimensions for Hopf algebra actions
Let $H$ be a Hopf algebra and $A$ an $H$-bimodule algebra. In this paper, we investigate Gorenstein global dimensions for Hopf algebras and twisted smash product algebras $Astar H$. Results from the literature are generalized.
متن کاملgorenstein global dimensions for hopf algebra actions
let $h$ be a hopf algebra and $a$ an $h$-bimodule algebra. in this paper, we investigate gorenstein global dimensions for hopf algebras and twisted smash product algebras $astar h$. results from the literature are generalized.
متن کاملEnveloping Actions for Partial Hopf Actions
Motivated by partial group actions on unital algebras, in this article we extend many results obtained by Exel and Dokuchaev [6] to the context of partial actions of Hopf algebras, according to Caenepeel and Jansen [3]. First, we generalize the theorem about the existence of an enveloping action, also known as the globalization theorem. Second, we construct a Morita context between the partial ...
متن کاملHopf Algebra Extensions of Monogenic Hopf Algebras
William M. Singer has described a cohomology theory of connected Hopf algebras which classifies extensions of a cocommutative Hopf algebra by a commutative Hopf algebra in much the same way as the cohomology of groups classifies extensions of a group by an abelian group. We compute these cohomology groups for monogenic Hopf algebras, construct an action of the base ring on the cohomology groups...
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 1998
ISSN: 0092-7872,1532-4125
DOI: 10.1080/00927879808826382