Construction of Quotient Rings

Related lectures (32)

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Covers the operations in rings, ideals, classes, and quotient rings.

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

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

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

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

Introduces the definition and examples of A-modules, including sub-modules and ideals.

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

Explores the concept of fractions of rings and their uniqueness in ideals and quotients.