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An element of an algebraic structure, generally denoted 0, which is an identity for an additive operation (generally denoted +). That is, x + 0 = 0 + x = x for any x in the structure.

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• Additive identity — In mathematics the additive identity of a set which is equipped with the operation of addition is an element which, when added to any element x in the set, yields x . One of the most familiar additive identities is the number 0 from elementary… …   Wikipedia

• additive identity — noun Date: 1953 an identity element (as 0 in the group of whole numbers under the operation of addition) that in a given mathematical system leaves unchanged any element to which it is added …   New Collegiate Dictionary

• additive identity — noun : an identity element (as 0 in the group of whole numbers under the operation of addition) that in a given mathematical system leaves unchanged any element to which it is added * * * Math. an element that when added to a given element in a… …   Useful english dictionary

• additive identity — Math. an element that when added to a given element in a specified set leaves that element unchanged, as zero in the real number system. [1955 60] * * * …   Universalium

• Additive inverse — In mathematics, the additive inverse, or opposite, of a number a is the number that, when added to a, yields zero. The additive inverse of a is denoted −a. For example, the additive inverse of 7 is −7, because 7 + (−7) = 0, and the additive… …   Wikipedia

• Identity element — In mathematics, an identity element (or neutral element) is a special type of element of a set with respect to a binary operation on that set. It leaves other elements unchanged when combined with them. This is used for groups and related… …   Wikipedia

• Identity (mathematics) — For other uses, see Identity (disambiguation). In mathematics, the term identity has several different important meanings: An identity is a relation which is tautologically true. This means that whatever the number or value may be, the answer… …   Wikipedia

• Additive category — In mathematics, specifically in category theory, an additive category is a preadditive category C such that any finitely many objects A 1,..., A n of C have a biproduct A 1 ⊕ ⋯ ⊕ A n in C. (Recall that a category C is preadditive if all its… …   Wikipedia

• additiveidentity — additive identity n. An element that in a given mathematical system leaves unchanged any element to which it is added. * * * …   Universalium

• Ring (mathematics) — This article is about algebraic structures. For geometric rings, see Annulus (mathematics). For the set theory concept, see Ring of sets. Polynomials, represented here by curves, form a ring under addition and multiplication. In mathematics, a… …   Wikipedia

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