- \mathbb {Z} \to \mathbb {Q} } is a ring
epimorphism. The dual of an
epimorphism is a
monomorphism (i.e. an
epimorphism in a
category C is a
monomorphism in...
-
split epimorphism is
always an
epimorphism, for both
meanings of
epimorphism. For sets and
vector spaces,
every epimorphism is a
split epimorphism, but...
-
morphism f : X → Y is
called an
epimorphism if g1 ∘ f = g2 ∘ f
implies g1 = g2 for all
morphisms g1, g2 : Y → Z. An
epimorphism can be
called an epi for short...
- is one in
which every epimorphism is conormal. A
monomorphism is
normal if it is the
kernel of some morphism, and an
epimorphism is
conormal if it is the...
-
retractions are also
called split epimorphisms. In an
abelian category, if f:X→Y{\displaystyle f:X\to Y} is a
split epimorphism with
split monomorphism g:Y→X{\displaystyle...
- Morphine,
formerly also
called morphia, is a
strong opiate that is
found naturally in opium, a dark
brown resin produced by
drying the
latex of
opium poppies...
-
categorical dual of a
monomorphism is an
epimorphism, that is, a
monomorphism in a
category C is an
epimorphism in the dual
category Cop.
Every section...
-
homomorphisms are
vastly different from
epimorphisms in the
category of rings. For example, the
inclusion Z ⊆ Q is a ring
epimorphism, but not a surjection. However...
- pullback, and if f is a
regular epimorphism, then g is a
regular epimorphism as well. A
regular epimorphism is an
epimorphism that
appears as a coequalizer...
- i.e. fg1 = fg2
implies g1 = g2 for all
morphisms g1, g2 : x → a. an
epimorphism (or epic) if it is right-cancellable, i.e. g1f = g2f
implies g1 = g2...
