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Related lectures (28)
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Product Groups: Isomorphism
Explores product groups and isomorphism between sets with different operations but the same structure.
Element Inverse for Multiplication
Covers the concept of element inverse for multiplication in complex numbers.
Number Theory: Operations and Equivalence
Covers operations and equivalence relations in number theory, including addition, subtraction, multiplication, division, and properties of neutral and inverse elements.
Groups & Subgroups: Definitions, Theorems, and Morphisms
Covers the fundamental concepts of groups and subgroups, including definitions, theorems, and morphisms.
Abstract algebra and type classes
Covers abstract algebra concepts using type classes in Scala, including defining monoids, generalizing reduce functions, and typeclass laws.
Group Theory: Basics
Covers the basics of group theory, including definitions, examples, and isometries.
Binary Operations: Addition and Multiplication
Covers binary operations, including addition and multiplication of integers represented in binary form.
Semigroups of Linear Operators
Explores semigroups of linear operators, contraction semigroups, infinitesimal generator, and Riemann integral properties.