Integral Domains and Abelian Groups

Related lectures (31)

Page 1 of 4

Explores the classification of finite abelian groups and rings, emphasizing elementary divisors and properties of rings.

Covers a review of algebraic structures such as rings, fields, and groups, including integral domains, ideals, and finite fields.

Explores regularity, divisors, prime divisors, and uniqueness in algebraic geometry.

Covers the classification theorem for finite abelian groups and introduces rings, including zero divisors and domains.

Covers fundamental concepts in commutative algebra, including rings, units, zero divisors, and local rings.

Covers exact sequences, torsion, divisibility, and operations on abelian groups.

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

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

Covers the solution of a practice exam in Algebra, focusing on finding greatest common divisors of polynomials and exploring group properties.