Rings and Fields

Related lectures (32)

Page 2 of 4

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

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

Covers selected mathematical topics including numbers, approximations, algebraic structures, limits, and series.

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

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

Covers the properties of Euclidean domains and irreducible elements in polynomial rings.

Covers the concept of prime ideals and local rings, emphasizing their importance.

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

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

Covers the goals and motivations of representation theory, focusing on associative algebras and homomorphisms.