- \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...
- 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...
-
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...
- epimorphism, but not a surjection. However,
every ring
epimorphism is also a
strong epimorphism, the
converse being true in
every category.[citation needed]...
-
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...
- Morphine,
formerly also
called morphia, is an
opiate that is
found naturally in opium, a dark
brown resin produced by
drying the
latex of
opium poppies...
-
commutative diagram are
exact and m and p are
epimorphisms and q is a monomorphism, then n is an
epimorphism. If the rows in the
commutative diagram are...
- is not
necessarily surjective.
Every coequalizer is an
epimorphism. In a topos,
every epimorphism is the
coequalizer of its
kernel pair. In
categories with...
- f:X\rightarrow Y} , then a
coimage of f {\displaystyle f} (if it exists) is an
epimorphism c : X → C {\displaystyle c:X\rightarrow C} such that
there is a map f...
