| Copyright | (c) 2013-2015 diagrams-core team (see LICENSE) |
|---|---|
| License | BSD-style (see LICENSE) |
| Maintainer | diagrams-discuss@googlegroups.com |
| Safe Haskell | None |
| Language | Haskell2010 |
Data.Monoid.Endomorphism
Description
The monoid of endomorphisms over any Category.
Synopsis
- newtype Endomorphism k a = Endomorphism {
- getEndomorphism :: k a a
Documentation
newtype Endomorphism k a #
An Endomorphism in a given Category is a morphism from some
object to itself. The set of endomorphisms for a particular
object form a monoid, with composition as the combining operation
and the identity morphism as the identity element.
Constructors
| Endomorphism | |
Fields
| |
Instances
| Show (k a a) => Show (Endomorphism k a) # | |
Defined in Data.Monoid.Endomorphism Methods showsPrec :: Int -> Endomorphism k a -> ShowS # show :: Endomorphism k a -> String # showList :: [Endomorphism k a] -> ShowS # | |
| Semigroupoid k => Semigroup (Endomorphism k a) # | |
Defined in Data.Monoid.Endomorphism Methods (<>) :: Endomorphism k a -> Endomorphism k a -> Endomorphism k a # sconcat :: NonEmpty (Endomorphism k a) -> Endomorphism k a # stimes :: Integral b => b -> Endomorphism k a -> Endomorphism k a # | |
| (Semigroupoid k, Category k) => Monoid (Endomorphism k a) # | |
Defined in Data.Monoid.Endomorphism Methods mempty :: Endomorphism k a # mappend :: Endomorphism k a -> Endomorphism k a -> Endomorphism k a # mconcat :: [Endomorphism k a] -> Endomorphism k a # | |
| (Category k, Groupoid k) => Group (Endomorphism k a) # | |
Defined in Data.Monoid.Endomorphism Methods invert :: Endomorphism k a -> Endomorphism k a # pow :: Integral x => Endomorphism k a -> x -> Endomorphism k a # | |