Commutativity in Rings

Related lectures (27)

Page 2 of 3

Introduces abstract concepts in linear algebra, focusing on operations with vectors and matrices.

Covers the basics of polynomials, focusing on rings, operations, and properties.

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

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

Explores eigenvalues and minimal polynomial, emphasizing their importance in linear algebra.

Covers linear independence, bases, and coordinate systems with examples and theorems.

Explains how to find free variables in matrix equations and analyze characteristic polynomials.

Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.

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

Covers the determination of matrices associated with linear transformations and explores the kernel and image concepts.