Lectures related to Transcendental extension

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

Explores transcendence degree in algebraic fields and classical analytic functions.

Explores Galois theory fundamentals, including separable elements, decomposition fields, and Galois groups, emphasizing the importance of finite degree extensions and the structure of Galois extensions.

Finite Degree Extensions

Covers the concept of finite degree extensions in Galois theory, focusing on separable extensions.

Dimension of Algebraic Variety

Explores the dimension of algebraic varieties, including the (Krull)-dimension of rings and computing dimensions using tools from commutative algebra.

Terminologie conventions

Covers the terminology and conventions related to the limit of a function and introduces algebraic and transcendental functions.