-
context of
abstract algebra or
universal algebra, a
monomorphism is an
injective homomorphism. A
monomorphism from X to Y is
often denoted with the notation...
-
monomorphism is a
monomorphism i in an
abelian category C such that for a
morphism f in C, the
composition f i {\displaystyle fi} is a
monomorphism only...
-
normal monomorphism or
conormal epimorphism is a
particularly well-behaved type of morphism. A
normal category is a
category in
which every monomorphism is...
-
morphism f : X → Y is
called a
monomorphism if f ∘ g1 = f ∘ g2
implies g1 = g2 for all
morphisms g1, g2 : Z → X. A
monomorphism can be
called a mono for short...
-
split monomorphism is
always a
monomorphism, for both
meanings of
monomorphism. For sets and
vector spaces,
every monomorphism is a
split monomorphism, but...
- ****ual
selection and
natural selection. The
opposite of
dimorphism is
monomorphism, when both
biological ****es are
phenotypically indistinguishable from...
-
homomorphism is also
called a
monomorphism. However, in the more
general context of
category theory, the
definition of a
monomorphism differs from that of an...
- {\displaystyle f} is a
retraction of g {\displaystyle g} .
Every section is a
monomorphism (every
morphism with a left
inverse is left-cancellative), and every...
- epimorphism. The dual of an
epimorphism is a
monomorphism (i.e. an
epimorphism in a
category C is a
monomorphism in the dual
category Cop). Many
authors in...
-
Injective ring
homomorphisms are
identical to
monomorphisms in the
category of rings: If f : R → S is a
monomorphism that is not injective, then it
sends some...
