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Regular extension
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Related lectures (7)
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Separable Extensions: Dedekind Rings
Explores separable extensions and Dedekind rings, focusing on coefficients and prime ideals.
Purely Inseparable Decompositions
Explores purely inseparable decompositions, Galois property, and algebraic closures.
Dedekind Rings: Factorisation and Ideal Class Group
Explores Dedekind rings, factorisation, ideal class group, heredity, separable extensions, and matrix properties.
Green's Theorem: Boundary and Normal Vectors
Explores boundaries, normal vectors, and Green's theorem application in transforming integrals.
Finite Degree Extensions
Covers the concept of finite degree extensions in Galois theory, focusing on separable extensions.
Ramification Theory: Residual Fields and Discriminant Ideal
Explores ramification theory, residual fields, and discriminant ideals in algebraic number theory.
Surface Integrals: Parameterized Surfaces
Explores surface integrals over parameterized orientable surfaces and their applications in flux and work evaluation.
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