Ring (mathematics)
ALGEBRAIC STRUCTURE IN MATHEMATICS, NOT NECESSARILY WITH MULTIPLICATIVE IDENTITY
Ring (algebra); Associative rings; Unit ring; Ring with a unit; Unital ring; Associative ring; Unitary ring; Ring (abstract algebra); Ring with unity; Ring with identity; Ring unit; Ring (math); Ring (maths); Ring mathematics; Ring maths; Ring math; Mathematical ring; Algebraic ring; Arithmetic properties; Ring with Unity; Unitary algebra; Ring axioms; Ring object; Ring of functions
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.