Separable Extensions: Dedekind Rings

Related lectures (32)

Page 3 of 4

Covers the concept of prime ideals and local rings, emphasizing their importance.

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

Explores ideals with finite sets of points and Hilberts Nullstellensatz in algebraic fields.

Covers the properties of Euclidean domains and irreducible elements in polynomial rings.

Explains submodules, generated modules, and ring ideals in module structure.

Introduces the definition and examples of A-modules, including sub-modules and ideals.

Explores purely inseparable decompositions, Galois property, and algebraic closures.

Explores idempotent elements, central orthogonal elements, commutative rings, and prime ideals in non-central rings.

Explores the additivity of dimension and height in a finitely generated k-algebra domain, showcasing its applications and implications.

Explores cohomology and the cross product, demonstrating its application in group actions like conjugation.