Constructing certain special analytic Galois extensions
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Number Theory"
DOI: 10.1016/j.jnt.2019.10.023
Abstract: Abstract For every prime p ≥ 5 for which a certain condition on the class group Cl ( Q ( μ p ) ) is satisfied, we construct a p-adic analytic Galois extension of the… read more here.
Keywords: constructing certain; galois extensions; certain special; analytic galois ... See more keywords
Morita equivalence for weak Hopf–Galois extensions
Sign Up to like & getrecommendations! Published in 2017 at "Communications in Algebra"
DOI: 10.1080/00927872.2016.1175572
Abstract: ABSTRACT Let H be a commutative weak Hopf algebra over a fixed field k, and A,B be weak H-Hopf Galois extensions. In this paper, we give a structure theorem for the category of weak relative… read more here.
Keywords: hopf; galois extensions; hopf galois; weak hopf ... See more keywords
Gorenstein Flat Modules of Hopf-Galois Extensions
Sign Up to like & getrecommendations! Published in 2023 at "Mathematics"
DOI: 10.3390/math11112542
Abstract: Let A/B be a right H-Galois extension over a semisimple Hopf algebra H. The purpose of this paper is to give the relationship of Gorenstein flat dimensions between the algebra A and its subalgebra B,… read more here.
Keywords: flat modules; hopf galois; gorenstein flat; modules hopf ... See more keywords
Bratteli Diagrams, Hopf-Galois Extensions and Calculi
Sign Up to like & getrecommendations! Published in 2025 at "Symmetry"
DOI: 10.3390/sym17020164
Abstract: Hopf–Galois extensions extend the idea of principal bundles to noncommutative geometry, using Hopf algebras as symmetries. We show that the matrix embeddings in Bratteli diagrams are iterated direct sums of Hopf–Galois extensions (quantum principal bundles)… read more here.
Keywords: extensions calculi; hopf galois; diagrams hopf; galois extensions ... See more keywords