COMPLETE COVERINGS AND GALOIS CORINGS
نویسندگان
چکیده
منابع مشابه
Comonads and Galois Corings
The notion of a coring was introduced by M. E. Sweedler in [20] with the objective of formulating and proving a predual to the Jacobson-Bourbaki theorem for extensions of division rings. A fundamental argument in [20] is the following: given division rings E ⊆ A, each coideal J of the A–coring A ⊗E A gives rise to a factor coring C = A ⊗E A/J . If g ∈ C denotes the group-like element 1 ⊗E 1 + J...
متن کاملOn Galois corings
For a long period the theory of modules over rings on the one hand and comodules and Hopf modules for coalgebras and bialgebras on the other side developed quite independently. In this talk we want to outline how ideas from module theory can be applied to enrich the theory of comodules and vice versa. For this we consider A-corings C with grouplike elements over a ring A, in particular Galois c...
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Partial Galois extensions were recently introduced by Doku-chaev, Ferrero and Paques. We introduce partial Galois extensions for noncommutative rings, using the theory of Galois corings. We associate a Morita context to a partial action on a ring.
متن کاملQuasi-co-frobenius Corings as Galois Comodules
We compare several quasi-Frobenius-type properties for corings that appeared recently in literature and provide several new characterizations for each of these properties. By applying the theory of Galois comodules with a firm coinvariant ring, we can characterize a locally quasi-Frobenius (quasi-co-Frobenius) coring as a locally projective generator in its category of comodules.
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ژورنال
عنوان ژورنال: International Journal of Geometric Methods in Modern Physics
سال: 2005
ISSN: 0219-8878,1793-6977
DOI: 10.1142/s0219887805000788