Separable extension

Related lectures (31)

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Explores purely inseparable decompositions, Galois property, and algebraic closures.

Covers homomorphisms, algebraic extensions, cutting, splitting, and separable elements in Fok [x].

Explores Dedekind rings, factorisation, ideal class group, heredity, separable extensions, and matrix properties.

Explores the dimension theory of rings, focusing on chains of ideals and prime ideals.

Explores Sobolev spaces in higher dimensions, discussing derivatives, properties, and challenges with continuity.

Covers the concept of finite degree extensions in Galois theory, focusing on separable extensions.

Covers the approximation of functions in Sobolev spaces using smooth functions.

Explores separable extensions and Dedekind rings, focusing on coefficients and prime ideals.

Explores algebraic decomposition, simple structures, irreducibility, and separability in finite degrees.

Covers the concepts of separable imperfect functions and equine conditions.