Rings (algebra)
In abstract algebra, a ring is a mathematical structure consisting of a set together with two binary operations, usually called addition and multiplication, that satisfy certain properties. This concept is fundamental to various areas of mathematics, including Number theory, Algebraic geometry, and Commutative algebra. Rings can be used to describe various mathematical objects, such as Integers, Polynomials, and Matrices. The study of rings is closely related to Group theory and Field theory. Rings have numerous applications in Computer science, Cryptography, and Coding theory. The concept of a ring was first introduced by David Hilbert and developed further by Emmy Noether and other mathematicians.