Integrity in Algebra

Related lectures (32)

Page 3 of 4

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

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

Explains the definition and properties of integer multiplication in various scenarios.

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

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

Explores modules, endomorphisms, and linear applications in algebra, including A-modules and commutative rings.

Introduces ring theory, covering definitions, examples, and subrings criteria.

Covers commutative ring morphisms, subrings, and injective ring morphisms.

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

Discusses irreducible factors in rings and the properties of Noetherian rings.