منابع مشابه
Gorenstein 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 کاملGroup Actions and Rational Ideals
We develop the theory of rational ideals for arbitrary associative algebras R without assuming the standard finiteness conditions, noetherianness or the Goldie property. The Amitsur-Martindale ring of quotients replaces the classical ring of quotients which underlies the previous definition of rational ideals but is not available in a general setting. Our main result concerns rational actions o...
متن کاملStabilizer 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 کاملPrimitive Ideals in Hopf Algebra Extensions
Let H be a finite-dimensional Hopf algebra. We study the behaviour of primitive and maximal ideals in certain types of ring extensions determined by H . The main focus is on the class of faithfully flat Galois extensions, which includes includes smash and crossed products. It is shown how analogous results can be obtained for the larger class of extensions possessing a total integral, which inc...
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ژورنال
عنوان ژورنال: Algebras and Representation Theory
سال: 2021
ISSN: 1386-923X,1572-9079
DOI: 10.1007/s10468-020-10019-5