Chinese Remainder Theorem: Rings and Fields

Related lectures (32)

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

Covers the concepts of ideals, principal ideal domains, and ring homomorphisms.

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

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

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

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

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

Covers the concept of ideals in commutative rings and their role in ring homomorphisms.

Explores the dimension theory of rings, focusing on chains of ideals and prime ideals.

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