Dedekind Rings and Fractional Ideals

Related lectures (32)

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

Covers ideals, representations, modules, and maximal ideals in associative algebras.

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

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

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

Covers simple modules, endomorphisms, and Schur's lemma in module theory.

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

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

Explores prime ideals and localization in algebraic geometry, highlighting their significance in ring structures.

Covers rings, modules, fields, minimal ideals, and the Nullstellensatz theorem.