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Lecture
Generators of Ideals
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Related lectures (32)
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Local Rings and Residues
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
Explores cyclotomic extensions, prime numbers, and ideal norms in number theory.
Chinese Remainder Theorem
Explores the Chinese remainder theorem in commutative rings and ideals, demonstrating its applications and relevance in finding unique solutions.
Primary Decomposition in Rings
Explores primary decomposition in rings, focusing on primary ideals and their properties.
Dedekind Rings and Fractional Ideals
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
Discusses irreducible factors in rings and the properties of Noetherian rings.
Commutative Algebra: Recollections
Covers fundamental concepts in commutative algebra, including rings, units, zero divisors, and local rings.
Ideals in Commutative Rings
Covers the concept of ideals in commutative rings and their role in ring homomorphisms.
Division Rings and Ideals
Covers division rings, fields, and ideals in commutative rings with examples in Z and quaternions.
Rings and Fields
Explores rings, fields, ideals, and their properties in algebraic structures.
