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Related lectures (32)
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Chinese Idempotent Constructions and Properties
Explores Chinese idempotent constructions and their properties, including ideals and product characterization.
Ring Theory: Sub-rings and Morphisms
Introduces sub-rings and morphisms in ring theory, emphasizing stability by multiplication.
Algebraic Geometry: Rings and Bodies
Explores algebraic geometry, focusing on rings, bodies, quotient rings, and irreducible polynomials.
Algorithms for Big Numbers: Z_n and Orders
Covers algorithms for big numbers, Z_n, and orders in a group, explaining arithmetic operations and cryptographic concepts.
Fermat's Equation: Integral Solutions and Gaussian Integers
Discusses Fermat's equation and Gaussian integers' properties.
Idempotent Elements and Central Orthogonal
Explores idempotent elements, central orthogonal elements, commutative rings, and prime ideals in non-central rings.
Algebraic Curves: Normalization
Covers the normalization process of plane algebraic curves, focusing on irreducible polynomials and affine curves.
Ring Theory: Morphisms and Isomorphisms
Covers commutative ring morphisms, subrings, and injective ring morphisms.
Galois Theory: The Galois Correspondence
Explores the Galois correspondence and solvability by radicals in polynomial equations.
Irreducible Factors and Noetherian Rings
Discusses irreducible factors in rings and the properties of Noetherian rings.