Galois theory in bicategories

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We develop a Galois (descent) theory for comonads within the framework of bicategories. We give generalizations of Beck's theorem and the Joyal-Tierney theorem. Many examples are provided, including classical descent theory, Hopf-Galois theory over Hopf algebras and Hopf algebroids, Galois theory for corings and group-corings, and Morita-Takeuchi theory for corings. As an application we construct a new type of comatrix corings based on (dual) quasi bialgebras.
39 pages

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Rings and Algebras, Category Theory, 16W30, 18D05

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http://salesiana.dossiersoluciones.com/handle/123456789/142715

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0711.3642
 http://arxiv.org/abs/0711.3642

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arXiv