A-H-BIMODULES AND EQUIVALENCES
نویسندگان
چکیده
منابع مشابه
A-H-bimodules and equivalences
In [6, Theorem 2.2] Doi gave a Hopf-algebraic proof of a generalization of Oberst’s theorem on affine quotients of affine schemes. He considered a commutative Hopf algebra H over a field, coacting on a commutative H-comodule algebra A. If AcoH denotes the subalgebra of coinvariant elements of A and β : A ⊗AcoH A −→ A ⊗H the canonical map, he proved that the following are equivalent: (a) AcoH ⊂ ...
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Let H be a Hopf algebra, and A, B be H-Galois extensions. We investigate the category AM H B of relative Hopf bimodules, and the Morita equivalences between A and B induced by them. Introduction This paper is a contribution to the representation theory of Hopf-Galois extensions, as originated by Schneider in [15]. More specifically, we consider the following questions. Let H be a Hopf algebra, ...
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2001
ISSN: 0092-7872,1532-4125
DOI: 10.1081/agb-100106776