Lectures related to Abelian category

Covers the cup product on cohomology, acyclic models, and the universal coefficient theorem.

Covers the equilibrium conditions in 3D, system isolation, free-body diagrams, and constraints.

Explores the properties and structure of Sylow subgroups in group theory, emphasizing a theorem-independent approach.

Covers categories, functors, and presheaf categories, exploring the relationships between objects and morphisms.

Explores the classification of finite abelian groups and rings, emphasizing elementary divisors and properties of rings.