Concept

Finitely generated algebra

Related lectures (27)

Module Structure: Submodules and Ring Ideals

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

Matrix Operations: Linear Systems and Solutions

Explores matrix operations, linear systems, solutions, and the span of vectors in linear algebra.

Building surfaces from equilateral triangles

Explores the construction of Riemann surfaces from equilateral triangles and the dynamics of finite-type maps.

Galois Theory Fundamentals

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.

Convergence & Choice of Finite Element Discretizations

Explores convergence, numerical pathologies, and mesh convergence studies in finite element discretizations.

Convergence in Law: Theorem and Proof

Explores convergence in law for random variables, including Kolmogorov's theorem and proofs based on probability lemmas.

Integral Closures: Eisenstein Primes

Covers integral closures, focusing on Eisenstein primes and their properties.