 Cohomology of algebras

Cohomology of algebras is a mathematical framework that extends the concepts of cohomology from topological spaces and differential geometry to algebraic structures, such as associative algebras, Lie algebras, and more generally, algebraic structures equipped with an action. At its core, cohomology assigns algebraic invariants (usually in the form of cohomology groups or cohomology spaces) to an algebraic object, which can provide insights into its structure and properties.