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Related lectures (30)

Page 2 of 3

Ideals and Representations

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

Natural Transformations Composition

Covers the theory of categories, emphasizing the importance of naturalness in the composition of transformations.

Fold Reduce Operations

Explores fold (reduce) operations in parallel programming using Scala, covering associative operations, expression trees, parallel reduction, and array reduction.

Associative Operations: Tuples and Sets

Explores associative operations on tuples and sets, demonstrating their properties through various examples and proofs.

Rings and Modules: Color Codes and Homological Algebra

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

Introduction to Category Theory: Natural Transformations

Covers the concept of natural transformations between functors and their associativity.

Intersection: Set Operations

Introduces set intersection, its properties, and its relation to arithmetic operations.

Group Theory: Definitions and Properties

Introduces group theory concepts, including definitions and properties of groups, rings, and fields.

Auxiliary Assertions in Stainless

Showcases the use of assertions in Stainless to prove properties of fractions.

Groups & Subgroups: Definitions, Theorems, and Morphisms

Covers the fundamental concepts of groups and subgroups, including definitions, theorems, and morphisms.