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Concept

Semigroup

Related lectures (24)

Covers abstract algebra concepts using type classes in Scala, including defining monoids, generalizing reduce functions, and typeclass laws.

Explores self-similarity in groups, focusing on Aut(X*) and its subgroups.

Covers conformal blocks, Young diagrams, and their significance in weight states.

Explores vector valued functions, their representations, uniqueness, and congruence subgroups.

Explores the history and concepts of Number Theory, including divisibility and congruence relations.

Explores the principal congruence subgroup of level 2 and its group structure.

Covers binary operations, including addition and multiplication of integers represented in binary form.

Covers the Postnikov tower, homotopy fibers, suspension, and the James construction.

Covers self-similar groups and automorphisms of rooted trees, exploring residually finite groups and congruence subgroups.

Introduces modular arithmetic, its properties, and applications in cryptography and coding theory.

Introduces the basics of Diffie-Hellman cryptography, covering algorithms, monoids, and key agreement protocols.

Explores meromorphic differentials on Riemann surfaces and modular forms on congruence subgroups.

Introduces continuous time Markov chains on a finite state space with exponential waiting times and jump probabilities.

Covers modular curves as compact Riemann surfaces, explaining their topology, construction of holomorphic charts, and properties.

Explores dense sets, Cauchy sequences, periodic solutions, and unique solutions in differential equations.

Explores semigroups of linear operators, contraction semigroups, infinitesimal generator, and Riemann integral properties.

Covers the concepts of ideals, principal ideal domains, and ring homomorphisms.

Explores semi-groups of contractions, discussing uniqueness theorems, maximum principles, and the infinitesimal generator.

Covers the concept of Kähler differentials, exploring linearity, construction, and B-linearity in algebraic geometry.

Covers the Chinese remainder theorem, polynomial rings, and Euclidean domains among other topics.