- In
category theory, an
epimorphism is a
morphism f : X → Y that is right-cancellative in the
sense that, for all
objects Z and all
morphisms g1, g2: Y...
- 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...
-
split epimorphism is
always an
epimorphism, for both
meanings of
epimorphism. For sets and
vector spaces,
every epimorphism is a
split epimorphism, but...
- and its
applications to mathematics, a
normal monomorphism or
conormal epimorphism is a
particularly well-behaved type of morphism. A
normal category is...
-
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...
-
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...
- such that ST is the
identity map on V. T is said to be
surjective or an
epimorphism if any of the
following equivalent conditions are true: T is onto as...
- In the
mathematical field of
graph theory, a
graph homomorphism is a
mapping between two
graphs that
respects their structure. More concretely, it is a...
-
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...
- is an isomorphism. Over a
local ring, one can say more
about module epimorphisms:
Suppose that R {\displaystyle R} is a
local ring with
maximal ideal...
