Lectures related to Algebra homomorphism

Covers algebra homomorphisms, derivation numbers, and closed subvariety concepts in epsilonization.

Explores the concept of variety defined as the closure of VCA and its applications in algebraic geometry.

Covers the Chinese remainder theorem for commutative rings and integers, polynomial rings, and Euclidean domains.

Explores ring homomorphisms, bilateral ideals, ring features, and ideal operations.

Covers the properties of the algebra of matrices and related concepts.

Covers the concepts of Galoisian and normal, including examples and evidence of coatings, revetemat, and conjugate groups.

Explores quotient groups, left classes decomposition, group structure, and unique homomorphisms.

Explores p-adic expansion, unique representations, and power series for computing p-adic expansions.

Explores a categorical perspective on group quotients, focusing on a specific case.

Covers the class equation in group theory and Burnside's Lemma, relating orbits and fixed points.

Explores homomorphisms of groups, focusing on the signature sgn and the concept of cycles and transpositions.

Explores the properties and equivalence of diagonalizable groups, including regularity and conjugacy.

Covers the concept of the free product in group theory and how to determine monomorphisms and homomorphisms.

Covers the universal property of group products and homomorphisms through quotients, with examples.

Explores the Hom functor in Abelian groups, focusing on its construction and properties.

Explores Schur's lemma and its applications in representations of an associative algebra over an algebraically closed field.

Covers group actions, bijections, evaluations, translations, homomorphisms, and inverses within universal actions.

Explores the uniqueness of amalgams in group theory through examples and diagrams.

Covers the main concepts behind RSA encryption and examples of homomorphisms between cyclic groups.

Covers special cases in group theory, focusing on group actions and functors.