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Related lectures (31)

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The Fundamental Theorem of Finitely Generated Modules

Covers the fundamental theorem of finitely generated modules over a PID.

Polynomials: Definitions and Operations

Covers the definition and operations of polynomials, including addition and multiplication, degree, coefficients, and their role in algebraic systems.

Python Modules and Functions

Covers Python libraries, modules, scoping, functions, lambdas, and practical examples.

Module Generation: A Family of Generators

Covers the concept of module generation using a family of generators.

Proper Actions and Quotients

Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.

Finite Elements: Triangular vs Quadrangular

Compares triangular and quadrangular finite elements, discussing completeness, continuity, and precision.

Endomorphisms and automorphisms of totally disconnected locally compact groups II

Explores flat groups of automorphisms and their properties, including minimization functions and invariance under specific conditions.

Topology of Riemann Surfaces

Covers the topology of Riemann surfaces and the concept of triangulation using finitely many triangles.

Separable Extensions: Dedekind Rings

Explores separable extensions and Dedekind rings, focusing on coefficients and prime ideals.

Sheaves and Modules

Covers sheaves and modules, including morphisms, sheafification, cocalization, and direct image properties.