Lectures related to Associative algebra

Covers the fundamentals of polynomials, endomorphisms, division, roots, matrices, and algebraic homomorphisms.

Explores the properties and operations of complex numbers in mathematics.

Introduces algebras over a field, k-linear endomorphisms, and commutative algebras.

Explores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.

Covers the concept of convex functions and their applications in optimization problems.

Explores algebraic structures of morphism spaces, including stability properties and injective ring homomorphisms.

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