Divisors

Related lectures (29)

Page 2 of 3

Introduces greatest common divisor, prime factorization, and the Euclidean Algorithm.

Covers polynomial rings, irreducibility criteria, and algebraic structures in fields.

Explores ideals in K[X], including PGCD, uniqueness, coprimality, and theorems of Bézout and Gauss.

Covers prime numbers, unique decomposition of natural numbers into prime factors, and practical implications for calculations.

Introduces algorithms as problem-solving procedures, covering complexity, correctness, and implementation in various languages.

Covers the calculation in rational numbers, focusing on GCD and LCM.

Covers function composition and integers, including properties and examples.

Covers functions, integers, GCD, and reasoning by recurrence, including the Euclidean algorithm and induction principle.

Explores regularity, divisors, prime divisors, and uniqueness in algebraic geometry.

Explains the Euclidean algorithm for polynomials over a field K, illustrating its application with examples.