Galois theory in bicategories

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dc.creatorGomez-Torrecillas, Jose
dc.creatorVercruysse, Joost
dc.date2007-11-22
dc.date.accessioned2026-07-07T08:44:36Z
dc.date.available2026-07-07T08:44:36Z
dc.descriptionWe 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.
dc.description39 pages
dc.identifierhttps://arxiv.org/abs/0711.3642
dc.identifierhttp://arxiv.org/abs/0711.3642
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142715
dc.subjectRings and Algebras
dc.subjectCategory Theory
dc.subject16W30, 18D05
dc.titleGalois theory in bicategories
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