ABSTRACT
The concept of operation on a set is an abstraction of “familiar” operations such as addition and multiplication of numbers, composition of functions, etc. Sets with operations on them will be referred to as algebraic structures. The study of algebraic structures is referred to as (modern) algebra and took the shape known today through work (in number theory and algebraic geometry) done by Kronecker, Dedekind, Hilbert, Emmy Noether, etc. Here we introduce operations in general, and some algebraic structures such as rings, fields, and Boolean algebras. We prefer to postpone the introduction of other algebraic structures such as groups, vector spaces, etc., until more theory is being developed.
