Chinese Remainder Theorem and Polynomial Rings

Related lectures (30)

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Explores the Chinese remainder theorem, systems of congruences, and Euclidean domains in integer numbers and polynomial rings.

Covers a review of algebraic structures such as rings, fields, and groups, including integral domains, ideals, and finite fields.

Covers the Chinese remainder theorem for commutative rings and integers, polynomial rings, and Euclidean domains.

Covers the properties of Euclidean domains and irreducible elements in polynomial rings.

Explores the properties of Euclidean domains, including gcd, lcm, and the Chinese remainder theorem for polynomial rings.

Covers principal ideals, ring homomorphisms, and more in commutative rings and fields.

Explores the construction and properties of finite fields, including irreducible polynomials and the Chinese Remainder Theorem.

Explores the Chinese Remainder Theorem for Euclidean domains and the properties of commutative rings and fields.

Explores congruence relations in rings, principal ideals, ring homomorphisms, and the characteristic of rings.

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