Hopf-Galois extensions and isomorphisms of small categories

Details Hopf-Galois extensions and isomorphisms of small categories Hopf-Galois extensions and isomorphisms of small categories

2010-04-29

arxiv.org/abs/1004.5235v1

Mathematics

Rings and Algebras

21 pages

Scientific paper

We associate two linear categories with two objects to a module over the
subalgebra of coinvariants of a Hopf-Galois extension, and prove that they are
isomorphic. The structure Theorem for cleft extensions, and the Militaru
\cStefan lifting Theorem can be obtained using these isomorphisms.

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