Generators of Ideals

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Related lectures (32)

Local Rings and Residues Log in to Mediaspace to watch this video

Covers the proof of theorem 4.2 on multiplicities and the special structure of local rings at a simple point of a plane.

Cyclotomic Extensions: Norms, Ideals, and Primes Log in to Mediaspace to watch this video

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

Chinese Remainder Theorem Log in to Mediaspace to watch this video

Explores the Chinese remainder theorem in commutative rings and ideals, demonstrating its applications and relevance in finding unique solutions.

Primary Decomposition in Rings Log in to Mediaspace to watch this video

Explores primary decomposition in rings, focusing on primary ideals and their properties.

Dedekind Rings and Fractional Ideals Log in to Mediaspace to watch this video

Explores Dedekind rings, fractional ideals, integrally closed properties, prime ideal factorization, and the structure of fractional ideals as a commutative group.

Irreducible Factors and Noetherian Rings Log in to Mediaspace to watch this video

Discusses irreducible factors in rings and the properties of Noetherian rings.

Commutative Algebra: Recollections Log in to Mediaspace to watch this video

Covers fundamental concepts in commutative algebra, including rings, units, zero divisors, and local rings.

Ideals in Commutative Rings Log in to Mediaspace to watch this video

Covers the concept of ideals in commutative rings and their role in ring homomorphisms.

Division Rings and Ideals Log in to Mediaspace to watch this video

Covers division rings, fields, and ideals in commutative rings with examples in Z and quaternions.

Rings and Fields Log in to Mediaspace to watch this video

Explores rings, fields, ideals, and their properties in algebraic structures.

Prime ideals and local rings Log in to Mediaspace to watch this video

Covers the concept of prime ideals and local rings, emphasizing their importance.

Properties of Euclidean Domains Log in to Mediaspace to watch this video

Covers the properties of Euclidean domains and irreducible elements in polynomial rings.

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