Lectures related to Free monoid

Explores the construction of G-sets and left adjoint functors in category theory.

Covers the concept of polynomial characteristic of a matrix and its relation to eigenvalues.

Covers the construction of polynomials on a field and the concept of minimal polynomials.

Covers the properties and criteria of linear dependence and independence in a vector space.

Explores formal language operations, including concatenation, union, intersection, and Kleene star for language repetition.

Covers the bar construction method, homology groups, classifying space, and the Hopf formula.