# injective

injective
Of, relating to, or being an injection: such that each element of the image (or range) is associated with at most one element of the preimage (or domain); inverse-deterministic.

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• injective — ● injectif, injective adjectif Application injective de A dans B, application pour laquelle tout élément de B est l image d au plus un élément de A. Consonne injective ou injective (nom féminin), consonne occlusive implosive (ou inspiratoire)… …   Encyclopédie Universelle

• Injective — Cette page d’homonymie répertorie les différents sujets et articles partageant un même nom. Sur les autres projets Wikimedia : « Injective », sur le Wiktionnaire (dictionnaire universel) Une consonne injective est une consonne… …   Wikipédia en Français

• Injective function — Injective redirects here. For injective modules, see Injective module. An injective function (is not a bijection) …   Wikipedia

• Injective module — In mathematics, especially in the area of abstract algebra known as module theory, an injective module is a module Q that shares certain desirable properties with the Z module Q of all rational numbers. Specifically, if Q is a submodule of some… …   Wikipedia

• Injective hull — This article is about the injective hull of a module in algebra. For injective hulls of metric spaces, also called tight spans, injective envelopes, or hyperconvex hulls, see tight span. In mathematics, especially in the area of abstract algebra… …   Wikipedia

• Injective object — In mathematics, especially in the field of category theory, the concept of injective object is a generalization of the concept of injective module. This concept is important in homotopy theory and in theory of model categories. The dual notion is …   Wikipedia

• Injective metric space — In metric geometry, an injective metric space, or equivalently a hyperconvex metric space, is a metric space with certain properties generalizing those of the real line and of L∞ distances in higher dimensional vector spaces. These properties can …   Wikipedia

• Injective sheaf — In mathematics, injective sheaves of abelian groups are used to construct the resolutions needed to define sheaf cohomology (and other derived functors, such as sheaf Ext .). There is a further group of related concepts applied to sheaves: flabby …   Wikipedia

• Injective cogenerator — In category theory, the concept of an injective cogenerator is drawn from examples such as Pontryagin duality. Generators are objects which cover other objects as an approximation, and (dually) cogenerators are objects which envelope other… …   Wikipedia

• injective — adjective Date: 1952 being a one to one mathematical function …   New Collegiate Dictionary

• injective — См. iniettiva …   Пятиязычный словарь лингвистических терминов