Definition of Injective. Meaning of Injective. Synonyms of Injective

Here you will find one or more explanations in English for the word Injective. Also in the bottom left of the page several parts of wikipedia pages related to the word Injective and, of course, Injective synonyms and on the right images related to the word Injective.

Definition of Injective

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Meaning of Injective from wikipedia

- {\displaystyle s\in S} to itself) is injective. In particular, the identity function X → X {\displaystyle X\to X} is always injective (and in fact bijective). If...
- in terms of them: Injective cogenerators are injective modules that faithfully represent the entire category of modules. Injective resolutions measure...
- the field of category theory, the concept of injective object is a generalization of the concept of injective module. This concept is important in cohomology...
- An injector is a system of ducting and nozzles used to direct the flow of a high-pressure fluid in such a way that a lower pressure fluid is entrained...
- mathematics, particularly in algebra, the injective hull (or injective envelope) of a module is both the smallest injective module containing it and the largest...
- algebraically compact modules are analogous to injective modules, where one can extend all module homomorphisms. All injective modules are algebraically compact,...
- example the Leray spectral sequence. An injective sheaf F {\displaystyle {\mathcal {F}}} is a sheaf that is an injective object of the category of abelian sheaves;...
- Injective (INJ) is a blockchain optimized for Web3 finance. Injective was launched by Injective Labs, which was founded by Eric Chen and Albert Chon in...
- {\displaystyle f{\big \vert }_{U}:U\to Y} is injective. It is called locally injective if it is locally injective around every point of its domain. Similarly...
- In category theory, a branch of mathematics, the concept of an injective cogenerator is drawn from examples such as Pontryagin duality. Generators are...