# multiplicative inverse element

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multiplicative inverse element
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English-Russian cryptological dictionary . 2014.

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• 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

• Inverse element — In abstract algebra, the idea of an inverse element generalises the concept of a negation, in relation to addition, and a reciprocal, in relation to multiplication. The intuition is of an element that can undo the effect of combination with… …   Wikipedia

• multiplicative inverse — noun (mathematics) one of a pair of numbers whose product is 1: the reciprocal of 2/3 is 3/2; the multiplicative inverse of 7 is 1/7 • Syn: ↑reciprocal • Topics: ↑mathematics, ↑math, ↑maths • Hypernyms: ↑ …   Useful english dictionary

• multiplicative inverse — noun Date: 1958 an element of a mathematical set that when multiplied by a given element yields the identity element called also reciprocal …   New Collegiate Dictionary

• Inverse (mathematics) — Inverse is the opposite of something. This word and its derivatives are used greatly in mathematics, as illustrated below. * Inverse element of an element x with respect to a binary operation * with identity element e is an element y such that x… …   Wikipedia

• Inverse function — In mathematics, if fnof; is a function from A to B then an inverse function for fnof; is a function in the opposite direction, from B to A , with the property that a round trip (a composition) from A to B to A (or from B to A to B ) returns each… …   Wikipedia

• Multiplicative order — In number theory, given an integer a and a positive integer n with gcd(a,n) = 1, the multiplicative order of a modulo n is the smallest positive integer k with ak ≡ 1 (mod n). The order of a modulo n is usually written ordn(a), or On(a). Contents …   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

• Élément entier — En mathématiques, et plus particulièrement en algèbre commutative, les éléments entiers sur un anneau commutatif sont à la fois une généralisation des entiers algébriques (les éléments entiers sur l anneau des entiers relatifs), et des éléments… …   Wikipédia en Français

• 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

• 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

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