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Lecture
Regular Implicit Functions
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Related lectures (32)
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Ideals in Commutative Rings
Covers the concept of ideals in commutative rings and their role in ring homomorphisms.
Cyclotomic Extensions: Norms, Ideals, and Primes
Explores cyclotomic extensions, prime numbers, and ideal norms in number theory.
Construction of Quotient Rings
Explores the construction of quotient rings and the properties of well-defined operations within rings.
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.
Chinese Remainder Theorem
Explores the Chinese remainder theorem in commutative rings and ideals, demonstrating its applications and relevance in finding unique solutions.
Irreducible Factors and Noetherian Rings
Explores irreducible factors, Noetherian rings, ideal stability, and unique factorization in rings.
Affine Algebraic Varieties: Zariski Topology
Explores affine algebraic varieties, emphasizing the Zariski Topology and regular functions.
Prime ideals and local rings
Covers the concept of prime ideals and local rings, emphasizing their importance.
Division Rings and Ideals
Covers division rings, fields, and ideals in commutative rings with examples in Z and quaternions.
Rings and Fields: Principal Ideals and Ring Homomorphisms
Covers principal ideals, ring homomorphisms, and more in commutative rings and fields.
