Algebra: Fundamental Theorem

Related lectures (31)

Page 3 of 4

Covers rings, modules, fields, minimal ideals, and the Nullstellensatz theorem.

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

Covers simple modules, endomorphisms, and Schur's lemma in module theory.

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

Explores Dedekind rings, factorisation, ideal class group, heredity, separable extensions, and matrix properties.

Explores discrete valuation rings, their properties, uniqueness of representation, and relationship with principal ideal domains.

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

Covers the topology of Adeles and their relationship with quadratic forms, polynomial varieties, and finiteness properties.

Explores ring homomorphisms, bilateral ideals, ring features, and ideal operations.

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