Ring
Ring (mathematics) 63 languages Article Talk Read Edit View history From Wikipedia, the free encyclopedia This article is about the algebraic structure. For other uses in mathematics, see Ring (disambiguation) § Mathematics . Algebraic structure → Ring theory Ring theory show Basic concepts show Commutative algebra show Noncommutative algebra v t e In mathematics , rings are algebraic structures that generalize fields : multiplication need not be commutative and multiplicative inverses need not exist. In other words, a ring is a set equipped with two binary operations satisfying properties analogous to those of addition and multiplication of integers . Ring elements may be numbers such as integers or complex numbers , but they may also be non-numerical objects such as polynomials , square matrices ,...