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Class Number Formula
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Related lectures (32)
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Fermat's Equation: Integral Solutions and Gaussian Integers
Discusses Fermat's equation and Gaussian integers' properties.
Integral Quadratic Lattices: Properties and Adeles
Covers non-degenerate integral quadratic lattices and adèles, including their properties and definitions.
Cyclotomic Extensions: Norms, Ideals, and Primes
Explores cyclotomic extensions, prime numbers, and ideal norms in number theory.
Dedekind Rings: Theory and Applications
Explores Dedekind rings, integral closure, factorization of ideals, and Gauss' Lemma.
Idempotent Elements and Central Orthogonal
Explores idempotent elements, central orthogonal elements, commutative rings, and prime ideals in non-central rings.
Localization in Algebra
Covers the concept of localization in algebra, focusing on making a ring multiplicative closed.
Diffie-Hellman and ElGamal Cryptosystems
Explores Diffie-Hellman key exchange, ElGamal cryptosystem, and their security applications in cryptography.
Ring of Polynomials: Coefficients and Multiplication
Covers the ring of polynomials, focusing on coefficients and multiplication.
Algebraic Structures of Morphism Spaces
Explores algebraic structures of morphism spaces, including stability properties and injective ring homomorphisms.
Division Rings and Ideals
Explores division rings, integral domains, fields, and ideals in rings, with examples and key theorems.