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arxiv: 1204.1883 · v2 · pith:6PUBX46Qnew · submitted 2012-04-09 · 🧮 math.KT

Hopf Galois (Co)Extensions In Noncommutative Geometry

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keywords hopfgaloisalgebrasalternativeanticoalgebrascoextensioncoextensions
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We introduce an alternative proof, with the use of tools and notions for Hopf algebras, to show that Hopf Galois coextensions of coalgebras are the sources of stable anti Yetter-Drinfeld modules. Furthermore we show that two natural cohomology theories related to a Hopf Galois coextension are isomorphic.

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