Rings and Modules

Related lectures (32)

Page 3 of 4

Explores prime ideals and localization in algebraic geometry, highlighting their significance in ring structures.

Explores local rings, Noetherian rings, and minimal primes in the context of integral domains.

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

Covers examples of group algebra decomposition and simple infinite-dimensional algebras.

Covers the calculation of angles between curves on regular surfaces and the concept of curvilinear abscissa.

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

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

Covers the concept of tensor product in the context of bilinear maps and explores the uniqueness of tensor products.

Explores the concept of fractions of rings and their uniqueness in ideals and quotients.

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