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Constructing certain special analytic Galois extensions

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0 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

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0 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

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1 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