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.
Choosing the right synonym
- Sentence evidence is available for functor, so synonym choice can be checked against real usage rather than a flat word list.
Synonym selection checklist
- Match the part of speech before comparing meanings.
- Check whether the synonym changes intensity, formality, or emotional tone.
- Read the replacement inside the full sentence, not just beside "functor".
- Prefer the clearest word over the most unusual word when writing for speed or comprehension.
When not to replace "functor"
Keep "functor" when the sentence already sounds natural, when a synonym would add unintended emphasis, or when readers need the most familiar wording. A synonym should clarify or sharpen the message, not simply make the sentence look more varied.
If two options seem close, choose the one that best matches the audience and purpose of the sentence.
Replacement workflow
1. Preserve meaning
Choose a synonym only if it keeps the core idea of "functor" intact in the sentence you are editing.
2. Tune tone
Check whether the replacement sounds more formal, casual, emotional, technical, or forceful than the original word.
3. Re-read context
Read the full sentence after the swap. Keep the synonym only when the sentence becomes clearer or more precise.
Review note: Synonym lists are ranked with lexical data and reviewed for practical writing value. Use the comparison notes, sentence evidence, and source labels together; a high-ranking synonym can still be wrong when the audience, register, or grammar changes.
Final fit check
After choosing a replacement for "functor", read the sentence once for meaning and once for rhythm. The best synonym should feel natural in the full sentence, not only accurate in a word list.
If the synonym makes the sentence slower, vaguer, or more dramatic than intended, keep "functor" or choose a simpler alternative from the closest-match group.
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.
Common questions
How should I check whether a synonym fits "functor"?
Compare the replacement against real sentence context. This entry includes sample sentences so you can check tone, grammar, and meaning before swapping words.