functor

(redirected from Bifunctor)
Also found in: Encyclopedia.
Related to Bifunctor: Contravariant functor

func·tor

 (fŭngk′tər)
n.
1. One that performs an operation or a function.
2. Grammar See function word.

[New Latin fūnctor, from Latin fūnctiō, performance, function; see function.]

functor

(ˈfʌŋktə)
n
1. (Grammar) (in grammar) a function word or form word
2. (Mathematics) (in mathematics) a function that maps elements of one set to those of another

func•tor

(ˈfʌŋk tər)

n.
that which functions; operator.
[1935–40]
Translations
Funktor
funktori
funktor
funktor
funktor
Mentioned in ?
References in periodicals archive ?
By a tensor category (M, [cross product], 1) we mean an abelian category M with unit object 1 [member of] Ob(M) and tensor product [cross product] : M x M [right arrow] M, an additive bifunctor (satisfying distributive laws w.
The usual tensor product [cross product] over k is a bifunctor of C(G, k).
It is immediate that the bifunctor [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] defines a right [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII]-category structure on [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII].