Rings and Ideals

Related lectures (32)

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

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

Explores division rings, integral domains, fields, and ideals in rings, with examples and key theorems.

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

Explores operations on ideals and structure theorems in commutative rings.

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

Explores rings, fields, ideals, and their properties in algebraic structures.

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

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

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