multiplicative identity
noun Date: 1958 an identity element (as 1 in the group of rational numbers without 0) that in a given mathematical system leaves unchanged any element by which it is multiplied

New Collegiate Dictionary. 2001.

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  • multiplicative identity — noun An element of an algebraic structure, generally denoted 1, which is an identity for an multiplicative operation (generally denoted times; or ,, or by concatenation) …   Wiktionary

  • multiplicative identity — noun : an identity element (as 1 in the group of rational numbers without 0 under the operation of multiplication) that in a given mathematical system leaves unchanged any element by which it is multiplied * * * Math. an identity that when used… …   Useful english dictionary

  • multiplicative identity — Math. an identity that when used to multiply a given element in a specified set leaves that element unchanged, as the number 1 for the real number system. [1955 60] * * * …   Universalium

  • 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

  • Multiplicative inverse — The reciprocal function: y = 1/x. For every x except 0, y represents its multiplicative inverse. In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x−1, is a number which when multiplied by x yields the… …   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

  • Multiplicative group of integers modulo n — In modular arithmetic the set of congruence classes relatively prime to the modulus n form a group under multiplication called the multiplicative group of integers modulo n. It is also called the group of primitive residue classes modulo n. In… …   Wikipedia

  • Multiplicative function — Outside number theory, the term multiplicative function is usually used for completely multiplicative functions. This article discusses number theoretic multiplicative functions. In number theory, a multiplicative function is an arithmetic… …   Wikipedia

  • Multiplicative group — Concepts in group theory category of groups subgroups, normal subgroups group homomorphisms, kernel, image, quotient direct product, direct sum semidirect product, wreath product …   Wikipedia

  • Multiplicative quantum number — In quantum field theory, multiplicative quantum numbers are conserved quantum numbers of a special kind. A given quantum number q is said to be additive if in a particle reaction the sum of the q values of the interacting particles is the same… …   Wikipedia

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