Grothendieck's extension of the fundamental theorem of Galois theory in abstract categories

DOI10.3103/S1068362311010067zbMath1302.18003OpenAlexW1988119787MaRDI QIDQ471254

S. H. Dalalyan

Publication date: 14 November 2014

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1068362311010067

zbMATH Keywords

Galois theorycompletionsadjunctionsgrothendieck's extension of Galois theory

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Separable extensions, Galois theory (12F10) Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) (18A30) Eilenberg-Moore and Kleisli constructions for monads (18C20)

Cites Work

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• Pure Galois theory in categories
• Abstract Galois theory
• Abstract Galois theory. II
• Formal category theory: Adjointness for 2-categories
• Main theorem in categorical Galois theory
• THE FUNDAMENTAL THEOREM OF GALOIS THEORY

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