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math.KT2005
Non-Abelian Hopf Cohomology
Philippe Nuss, Marc Wambst
We introduce non-abelian cohomology sets of Hopf algebras with coefficients in Hopf modules. We prove that these sets generalize Serre's non-abelian group cohomology theory. Using…
math.RA2005
Galois-Azumaya Extensions and the Brauer-Galois Group of a Commutative Ring
Philippe Nuss
We attach to any commutative ring R a subgroup of the Brauer group of R, called the Brauer-Galois group of R. Its elements are the classes of the Azumaya R-algebras which can be re…