- \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 ⟹
epimorphism (surjective) ⟹
epimorphism (right cancelable) ; {\displaystyle {\text{split
epimorphism}}\implies {\text{
epimorphism (surjective)}}\implies...
-
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...
- 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...
-
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...
-
indicates an
epimorphism (the map mod 2). This is an
exact sequence because the
image 2Z of the
monomorphism is the
kernel of the
epimorphism. Essentially...
-
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...
-
superfluous epimorphism in Hom(P, X). If R is a ring, then in the
category of R-modules, a
superfluous epimorphism is then an
epimorphism p : P → X {\displaystyle...
