Lectures related to Investigating Technologies for Humankind

Simple Modules: Schur's Lemma

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

Ideals and Representations

Covers ideals, representations, modules, and maximal ideals in associative algebras.

Algebraic Kunneth Theorem

Covers the Algebraic Kunneth Theorem, explaining chain complexes and cohomology computations.

Free Resolution of Modules

Covers free resolution of modules and projective modules in module theory.

Module Theory: Chain Conditions

Explores chain conditions in module theory, emphasizing Noetherian modules and stabilizing sequences of submodules.

Tensor Products of Modules

Covers tensor algebras, symmetric and exterior algebras, and tensor products of modules.

Tensor Product: Bilinear Maps

Covers the concept of tensor product in the context of bilinear maps and explores the uniqueness of tensor products.

Modules and Namespaces

Explores Python modules, program hierarchy, module importing, and namespaces, including variables and scopes within functions.

Algebraic Structures: Modules and Morphisms

Explores modules, sub-modules, and morphisms in algebraic structures.

Environmental Economics: Course Overview and Key Concepts

Provides an overview of environmental economics, covering course structure, key concepts, and the relationship between economic activity and environmental issues.

Homomorphisms and Projective Resolutions

Covers homomorphisms, projective modules, and resolutions in chain complexes.

Rings and Modules: Lecture 1

Covers rings, modules, exact sequences, and finitely generated modules in the context of Noetherian and Artinian properties.

Decomposition of Group Algebras

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

Linear Algebra: Modules and Endomorphisms

Explores modules, endomorphisms, and linear applications in algebra, including A-modules and commutative rings.

Rings and Modules: Color Codes and Homological Algebra

Covers rings and modules, emphasizing color codes and homological algebra concepts.

Forecasting Methods: Expert Approaches and Professional Predictions

Explores forecasting methods, professional predictions for the Swiss economy, and the quality of anticipations in real estate and economic sectors.

Emergence of Informal Initiatives

Explores the emergence of informal transportation initiatives and challenges in African urban mobility.

Module Structure: Submodules and Ring Ideals

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

Dimension Theory of Rings

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

Python Modules and Functions

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