Rédaction n°107. Algèbre. Chapitre V. Corps commutatifs, §§ 8 et 9 (état 5)
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§ 8. Racines de l'unité. Corps finis. Extensions cycliques. § 9. Eléments radiciels. Critères de séparabilité. Dérivations. Appendice I. Fractions rationnelles symétriques. Appendice II. Extensions galoisiennes de degré infini.
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R107_nbr017
Rédaction n°099. Algèbre. Chapitre V. Corps commutatifs (état 3)
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§ 1. Corps premiers. Caractéristique. § 2. Extensions algébriques et extensions transcendantes. § 3. Corps algébriquement fermés. Extensions universelles. § 4. Isomorphismes. Dérivations. Extensions séparables. § 5. Composition des corps. § 6. Extensions normales. Théorie de Galois. § 7. Racines de l'unité. Corps finis. § 8. Extensions cycliques. La rédaction s'achève sur un appendice consacré aux extensions normales de degré infini.
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R099_nbr010
Rédaction n°046. Algèbre. Chapitre VI. Corps commutatifs, précédé de commentaires. (état 1).
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<a href="/items/browse?advanced%5B0%5D%5Belement_id%5D=49&advanced%5B0%5D%5Btype%5D=is+exactly&advanced%5B0%5D%5Bterms%5D=extensions+galoisiennes">extensions galoisiennes</a>
<a href="/items/browse?advanced%5B0%5D%5Belement_id%5D=49&advanced%5B0%5D%5Btype%5D=is+exactly&advanced%5B0%5D%5Bterms%5D=groupes+de+Galois">groupes de Galois</a>
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Commentaire à l'appendice au chapitre V ainsi qu'au chapitre VI, puis chapitre VI à proprement parler. § 1. Caractéristique, corps premiers. § 2. Extensions simples. Eléments algébriques et éléments transcendants. § 3. Extensions algébriques et extensions transcendantes. § 4. Extensions algébriquement stables. § 5. Isomorphismes d'extensions algébriques. § 6. Extensions galoisiennes. § 7. Racines de l'unité, corps finis. § 8. Corps ordonnés et corps quasi-réels. § 9. Divisibilité dans les extensions algébriques. Appendice I. Extensions galoisiennes infinies. Appendice II. Extensions algébriques des corps p-adiques.
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Texte dactylographié
R046_iecnr055