Galois theory: Separable extensions @richarde.borcherds7998
Galois theory: Separable extensions @richarde.borcherds7998
Uploaded January 2021 | Updated September 2026, 2 weeks ago
This lecture is part of an online graduate course on Galois theory.

We define separable algebraic extensions, and give some examples of separable and non-separable extensions. At the end we briefly discuss purely inseparable extensions.
Galois theory: Separable extensionsTheory of numbers: Congruences: IntroductionModular forms: Eisenstein seriesTheory of numbers: Congruences: Primitive rootsIntroduction to number theory lecture 34. Gauss sumsGalois theory: Examples of Galois extensionsIntroduction to number theory lecture 27. Groups and number theoryElliptic functions lecture 4. The sigma functionElliptic functions lecture 2Rings 13 Colimits and exactnessCategories 6 Monoidal categoriesRings 6 Prime and maximal ideals
Richard E Borcherds |

Galois theory: Separable extensions

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