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Abstract Galois theory. (English) Zbl 0441.18007


MSC:

18A99 General theory of categories and functors
13B05 Galois theory and commutative ring extensions
16W20 Automorphisms and endomorphisms
55Q05 Homotopy groups, general; sets of homotopy classes
18B30 Categories of topological spaces and continuous mappings (MSC2010)
16H05 Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.)
18A20 Epimorphisms, monomorphisms, special classes of morphisms, null morphisms
20E18 Limits, profinite groups
18B25 Topoi
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References:

[1] Bourbaki, N., Commutative Algebra (1972), Addison Wesley: Addison Wesley Reading, MA
[2] Chase, S. U.; Harrison, D. K.; Rosenberg, A., Galois theory and cohomology of commutative rings, Mem. Amer. Math. Soc., 52, 15-33 (1965) · Zbl 0143.05902
[3] Grothendieck, A., Revêtements étales et groupe fondamental, (Springer Lecture Notes in Math., 224 (1971), Springer-Verlag: Springer-Verlag Berlin), (SGA1) · Zbl 1039.14001
[4] Janusz, G. J., Separable algebras over commutative rings, Trans. Amer. Math. Soc., 122, 461-479 (1966) · Zbl 0141.03402
[5] Johnstone, P. T., Topos Theory (1977), Academic Press: Academic Press New York · Zbl 0368.18001
[6] Kelly, G. M., Monomorphisms, epimorphisms and pullbacks, J. Austral. Math. Soc., 9, 124-142 (1969) · Zbl 0169.32604
[7] Lubkin, S., Theory of covering spaces, Trans. Amer. Math. Soc., 104, 204-238 (1962) · Zbl 0133.16303
[8] Rotman, J. J., Covering complexes with applications to algebra, Rocky Mountain J. Math., 4, 641-674 (1973) · Zbl 0272.55003
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