Abstract Galois theory. II

DOI10.1016/0022-4049(82)90080-9zbMath0492.18003OpenAlexW2151074834WikidataQ126594587 ScholiaQ126594587MaRDI QIDQ1167806

Michael Barr

Publication date: 1982

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(82)90080-9

zbMATH Keywords

coverprofinite groupsiteflat algebrasstrongly separable algebracategory with Grothendieck topologyfinite coproductsfinite Galois object

Mathematics Subject Classification ID

Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Automorphisms and endomorphisms (16W20) Topoi (18B25) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) General theory of categories and functors (18A99) Galois theory and commutative ring extensions (13B05)

Related Items

Pure Galois theory in categories ⋮ On the representation theory of Galois and atomic topoi. ⋮ Grothendieck's extension of the fundamental theorem of Galois theory in abstract categories ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Non-normal Galois theories and some resulting structures

Cites Work

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• Abstract Galois theory
• Module categories over topoi
• Separable algebras and Galois extensions
• Separable algebras over commutative rings
• Séminaire de géométrie algébrique du Bois Marie 1960/61 (SGA 1), dirigé par Alexander Grothendieck. Augmenté de deux exposés de M. Raynaud. Revêtements étales et groupe fondamental. Exposés I à XIII. (Seminar on algebraic geometry at Bois Marie 1960/61 (SGA 1), directed by Alexander Grothendieck. Enlarged by two reports of M. Raynaud. Ètale coverings and fundamental group)
• Galois Theory for Rings with Finitely Many Idempotents
• Galois Theory with Infinitely Many Idempotents
• Aspects of topoi
• Aspects of topoi: Corrigenda and acknowledgements

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