Concept

Divisor

Related lectures (30)

Discusses integral domains, abelian groups, invertibility, zero divisors, prime elements, and group classification.

Explores the classification of finite abelian groups and rings, emphasizing elementary divisors and properties of rings.

Covers integers, rings, subrings, invertibility, divisors of zero, and equivalence relations in formal fractions.

Introduces sets, maps, divisors, prime numbers, and arithmetic principles related to integers.

Covers the properties of divisibility and focuses on numbers divisible by 2 and 3.

Explains divisors, common divisors, and greatest common divisors with illustrative examples.

Introduces deterministic approaches to identify prime numbers and covers algorithms and modular arithmetic for prime number testing.

Explores natural numbers, their properties, operations, and practical applications like calculating hours in a year.

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

Covers GCD, LCM, and the Euclidean algorithm for efficient computation of GCD.

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

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

Explores the regularity of curves over a field and the importance of specific properties for curve regularity.

Covers the classification theorem for finite abelian groups and introduces rings, including zero divisors and domains.

Covers GCD, LCM, and the Euclidean algorithm for efficient computation.

Explores the history and concepts of Number Theory, including divisibility and congruence relations.

Explores prime numbers, coprime integers, and their properties in number theory.

Covers algorithms, data, loops, control structures, and the Euclidean algorithm.

Explores well ordering, induction, Euclidean division, and prime factorization in integers.

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