Congruence Relations in Rings

Related lectures (32)

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

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

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

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

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

Explores operations on ideals and structure theorems in commutative rings.

Covers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.

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

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

Explores the Chinese remainder theorem in commutative rings and ideals, demonstrating its applications and relevance in finding unique solutions.