Purely Inseparable Decompositions

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Page 3 of 4

Explores solvability by radicals in Galois theory and the Galois/Abel criterion for solvability.

Explores Dedekind rings, integral extensions, and noetherian rings in algebraic structures.

Explores algebraic extensions, constructions, irreducible polynomials, autonomous constructions, and cutting compositions.

Examines conditions for the existence of invertible matrices satisfying specific matrix equations involving eigenvalues.

Explores Galois theory with a focus on Dedekind rings and their unique factorization of fractional ideals.

Covers the Gauss-Wantzel Theorem and Fermat prime numbers.

Explores transcendence degree in algebraic fields and classical analytic functions.

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

Explores Dedekind rings, integral closure, factorization of ideals, and Gauss' Lemma.

Covers the completion of a field, focusing on algebraic closure and function convergence.