Factorisation in PIDs

Related lectures (32)

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

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

Explores the Chinese Remainder Theorem for Euclidean domains and the properties of commutative rings and fields.

Covers a general introduction and discusses algebra, emphasizing the importance of unique factorization in algebraic structures.

Explores idempotent elements, central orthogonal elements, commutative rings, and prime ideals in non-central rings.

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

Explores cyclotomic extensions, prime numbers, and ideal norms in number theory.

Explores the construction and properties of finite fields, including irreducible polynomials and the Chinese Remainder Theorem.

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

Covers a review of algebraic structures such as rings, fields, and groups, including integral domains, ideals, and finite fields.