Chinese Remainder Theorem

Related lectures (32)

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

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

Explores operations on ideals and structure theorems in commutative rings.

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

Covers ideals, representations, modules, and maximal ideals in associative algebras.

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

Explores rings, domains, fields, and ideals, with a focus on constructions and properties.

Covers division rings, fields, and ideals in commutative rings with examples in Z and quaternions.