Division Rings and Ideals

Related lectures (32)

Page 2 of 4

Explores Dedekind rings, integral closure, factorization of ideals, and Gauss' Lemma.

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

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

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

Explores the properties of commutative rings and integral domains in algebra.

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

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

Covers primary decomposition in commutative rings and its application in prime ideals.

Explores the construction of quotient rings and the properties of well-defined operations within rings.

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