The Structure of Corings: Induction Functors, Maschke-Type Theorem, and Frobenius and Galois-Type Properties

被引：0
作者：
Tomasz Brzeziński
机构：
[1] University of Wales Swansea,Department of Mathematics
来源：
Algebras and Representation Theory | 2002年 / 5卷
关键词：
coring; separable functor; entwining structure; Frobenius extension;
D O I：
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学科分类号：
摘要：
Given a ring A and an A-coring C, we study when the forgetful functor from the category of right C-comodules to the category of right A-modules and its right adjoint −⊗AC are separable. We then proceed to study when the induction functor −⊗AC is also the left adjoint of the forgetful functor. This question is closely related to the problem when A→ AHom(C,A) is a Frobenius extension. We introduce the notion of a Galois coring and analyse when the tensor functor over the subring of A fixed under the coaction of C is an equivalence. We also comment on possible dualisation of the notion of a coring.
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页码：389 / 410
页数：21
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