Basis (universal algebra)

In the context of universal algebra, a **basis** refers to a specific type of generating set for a variety of algebraic structures, such as groups, rings, or fields. More generally, in universal algebra, we study algebraic structures that are defined by operations and relations, focusing on properties that are shared among different types of algebraic systems. A **variety** is a class of algebraic structures that can be defined by a set of equations (or identities).