Congruence relation

Related lectures (32)

Page 3 of 4

Covers a review of algebraic structures such as rings, fields, and groups, including integral domains, ideals, and finite fields.

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

Explores the Chinese remainder theorem in commutative rings and ideals, demonstrating its applications and relevance in finding unique solutions.

Covers the construction of homotopy categories from quasicategories, including definitions, compositions, and homotopy relations.

Covers the base change matrix, transition matrix, and equivalence of matrices in linear algebra.

Covers the Bombieri-Vinogradov theorem and its implications for prime gaps and multiplicative sieve inequalities.

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

Covers the definition and examples of topological groups, focusing on actions of groups on spaces.

Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.

Explores curves in the oriented plane, discussing orientation, vector spaces, equivalence relations, and curvature of regular curves.