-
category can (and
often will) have more
epimorphisms. As for most
concepts in
category theory,
epimorphisms are
preserved under equivalences of categories:...
-
Morphisms having a
right inverse are
always epimorphisms, but the
converse is not true in general, as an
epimorphism may fail to have a
right inverse. If a...
- Right-cancellative
morphisms are
called epimorphisms. Specifically,
surjective functions are
precisely the
epimorphisms in the
category of sets. The prefix...
- and its
applications to mathematics, a
normal monomorphism or
conormal epimorphism is a
particularly well-behaved type of morphism. A
normal category is...
- In algebra,
epimorphisms are
often defined as
surjective homomorphisms.: 134 : 43 On the
other hand, in
category theory,
epimorphisms are
defined as...
- 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...
-
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...
-
epimorphisms: in fact, the
epimorphisms in this
subcategory are
precisely those morphisms with
dense images in
their codomains, so that
epimorphisms need...
-
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...
