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Related lectures (29)
Functions and Integers
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Covers functions, integers, GCD, and reasoning by recurrence, including the Euclidean algorithm and induction principle.
Algebraic Geometry: Regularity and Divisors
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Explores regularity, divisors, prime divisors, and uniqueness in algebraic geometry.
Mathematical Analysis: Functions and Composition
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Covers the analysis of functions, composition, and mathematical induction.
Polynomial Factorization: Field Approach
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Covers the factorization of polynomials over a field, including division with remainder and common divisors.
Integers: Sets, Maps, and Principles
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Introduces sets, maps, divisors, prime numbers, and arithmetic principles related to integers.
Regularity of Curves
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Explores the regularity of curves over a field and the importance of specific properties for curve regularity.
Frobenius Theorems in Number Theory
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Explores Frobenius theorems in number theory, ideal class groups, norm properties, and geometry of numbers.
Finite Abelian Groups & Rings
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Explores the classification of finite abelian groups and rings, emphasizing elementary divisors and properties of rings.
Properties of Euclidean Domains
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Explores the properties of Euclidean domains, including gcd, lcm, and the Chinese remainder theorem for polynomial rings.
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