adjunction

suomi-englanti sanakirja

adjunction englannista suomeksi

1. liitos

0. Substantiivi

adjunction englanniksi

1. (senseid) The act of joining; the thing joined or added.

2. (senseid) The joining of property owned by one to that owned by another.

3. The process of adjoining elements to an structure (usually a ring or field); the result of such a process.

(ux)

5. A relationship between a pair of categories that makes the pair, in a weak sense, equivalent.

(hyponyms)

6. (senseid) A isomorphism between a pair of functors satisfying certain conditions, whose existence implies a close relationship between the functors and between their (co)domains; the natural isomorphism, functors, and their (co)domains thought of as a single object.

7. (''formally, given two categories \mathcal{C} and \mathcal{D} and (covariant) functors F:\mathcal{C}\rightarrow \mathcal{D} and G:\mathcal{D}\rightarrow \mathcal{C}'') A isomorphism \Phi : \operatorname{Hom}_\mathcal{C}(G\cdot, \cdot) \to \operatorname{Hom}_\mathcal{D}(\cdot, F\cdot) (''where the hom-functors are understood as bifunctors from \mathcal{D}^\operatorname{op} \times \mathcal{C} to \mathbf{Set}''). ''See (pedia)''.

(meronyms)