An affine algebraic group over a field k is a representable covariant functor from the category of commutative algebras over k to the category of groups such that the representing algebra is finitely generated.
Source: tatoeba (1748788)
Functor
/ˈfʌŋktə/
Synonyms for "functor"
Ranked by relevance and common usage.
Translations
19 translations across 17 languages.
Bashkir
1 entries- функтор noun (category theory: category mapping)
Chinese Mandarin
1 entries- 函子 noun (category theory: category mapping)
Finnish
1 entries- funktori noun (category theory: category mapping)
French
1 entries- foncteur noun (category theory: category mapping)
German
1 entries- Funktor noun (category theory: category mapping)
Hungarian
1 entries- funktor noun (category theory: category mapping)
Icelandic
1 entries- varpi noun (category theory: category mapping)
Irish
1 entries- feidhmeoir noun (category theory: category mapping)
Italian
1 entries- funtore noun (category theory: category mapping)
Japanese
1 entries- 関手 noun (category theory: category mapping)
Kazakh
1 entries- функтор noun (category theory: category mapping)
Kyrgyz
1 entries- функтор noun (category theory: category mapping)
Polish
1 entries- funktor noun (category theory: category mapping)
Portuguese
2 entries- functor noun (category theory: category mapping)
- funtor noun (category theory: category mapping)
Russian
1 entries- функтор noun (category theory: category mapping)
Spanish
2 entries- functor noun (category theory: category mapping)
- funtor noun (category theory: category mapping)
Swedish
1 entries- funktor noun (category theory: category mapping)
Sample sentences
5 total sentences available.
In the category of categories #92;mathbf#123;Cat#125; the objects are categories and the morphisms are functors.
Source: wiktionary
1991, Natalie Wadhwa (translator), Yu. A. Brudnyǐ, N. Ya. Krugljak, Interpolation Functors and Interpolation Spaces, Volume I, Elsevier (North-Holland), page 143, Choosing for U the operation of closure, regularization or relative completion, we obtain from a given functor ℱ∈𝒥ℱ the functors ◌̅F: overrightarrow X→◌̅F( overrightarrow X),F⁰: overrightarrow X→F( overrightarrow X)⁰,Fᶜ: overrightarrow X→F( overrightarrow X)ᶜ.
Source: wiktionary
Given a homotopical category X and a functor u#58;A#92;rightarrowB, a homotopical u-colimit (resp. u-limit) functor on X will be a homotopically terminal (resp. initial) Kan extension of the identity (50.2) along the induced diagram functor Xᵘ#58;Xᴮ#92;rightarrowXᴬ (47.1).
Source: wiktionary
Showing 4 of 5 available sentences.