How to use functor in a sentence

More sentences with functor

• By a group functor we mean a functor from small k-algebras to groups.2017, J. S. Milne, Algebraic Groups: The Theory of Group Schemes of Finite Type over a Field, Cambridge University Press, page 118. From the entry group functor
• An étale presheaf on X is a contravariant functor from Ét(X) to the category of sets.2016, Thierry Vialar, Handbook of Mathematics, page 825. From the entry étale
• This means that the fibrant replacement functor does not preserve the causal structure.2015, Philippe Gaucher, “About the choice of cofibrations of higher dimensional transition systems”, in arXiv. From the entry fibrant
• In particular the role of protoadditive functors in the study of Hopf formulae for homology is explained..2015, Tomas Everaert, Marino Gran, “Some aspects of semi-abelian homology and protoadditive functors”, in arXiv. From the entry protoadditive
• Also, if k is noetherian, then any subfunctor of a finitely generated functor is finitely generated.2015, Serge Bouc, Jacques Thévenaz, “The representation theory of finite sets and correspondences”, in arXiv. From the entry subfunctor
• A homomorphism of group functors is a natural transformation.2017, J. S. Milne, Algebraic Groups: The Theory of Group Schemes of Finite Type over a Field, Cambridge University Press, page 118. From the entry group functor
• Moreover, we improve significantly the conservativity properties of the functor t (that were established in a preceding paper).2015, Mikhail V. Bondarko, “On morphisms killing weights, weight complexes, and Eilenberg-Maclane (co)homology of spectra”, in arXiv. From the entry conservativity
• Sentences were formed from terms by the existence functor '∃' and, dispensably, the further functors '∀', '⊆', '⊂', and '≡'.1982, Willard Van Orman Quine, Methods of Logic, page 283. From the entry dispensably
• A new semisymmetrization functor, which maps the category of quasigroups with homotopies to the category of semisymmetric quasigroups with homomorphisms is given.2015, Aleksandar Krapez, Zoran Petric, “A note on semisymmetry”, in arXiv. From the entry semisymmetric
• A polyad is a lax functor from a small category (its source) to the bicategory of categories, and a Hopf polyad is a comonoidal polyad whose fusion operators are invertible.2015, Alain Bruguières, “Hopf polyads”, in arXiv. From the entry comonoidal
• A well conceived computer-aid can be obtained if there is a trilogical coherence between the three structures PGR, ORG and CFG and between the three functors ADJ, ROR and RCFG.1982, Hajime Akashi, Control Science and Technology for the Progress of Society. From the entry trilogical

Meaning of functor

1. noun A function word.
2. noun A function object.
3. noun A category homomorphism; a morphism from a source category to a target category which maps objects to objects and arrows to arrows (either covariantly or contravariantly), in such a way as to preserve morphism composition and identities.

Full definition of functor

More about functor

• Meaning of functor
• Functor in Tamil

Questions about functor in a sentence

How do you use functor in a sentence?

Functor is used as a noun. For example: “By a group functor we mean a functor from small k-algebras to groups.”

What is a short sentence with functor?

“A homomorphism of group functors is a natural transformation.”

What does functor mean?

Functor means a function word.