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arXiv · 1805.11062

A simplified categorical approach to several Galois theories

David Blázquez-Sanz·Carlos A. Marín Arango·Juan Felipe Ruiz Castrillon
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Abstract

We discuss the concept of Galois structure and Galois epimorphism in a general setting. Namely, a Galois structure for an epimorphism $\pi\colon M\to B$ in some category ${\mathcal C}$ is the action of a group object that gives to $M$ the structure of principal homogeneous space in the relative category ${\mathcal C}_B$.

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BibTeXRIS

David Blázquez-Sanz, Carlos A. Marín Arango, Juan Felipe Ruiz Castrillon. 2018-05-28. A simplified categorical approach to several Galois theories. https://arxiv.org/abs/1805.11062

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