- In algebra, the
coimage of a
homomorphism f : A → B {\displaystyle f:A\rightarrow B} is the
quotient coim f = A / ker ( f ) {\displaystyle {\text{coim}}f=A/\ker(f)}...
- space. This is
sometimes called the
coimage of T. The
transformation T is one-to-one on its
coimage, and the
coimage maps
isomorphically onto the image...
- and
coimage. We can
define these as im f := ker coker f; coim f := coker ker f. That is, the
image is the
kernel of the cokernel, and the
coimage is the...
-
called the
coimage of the
function f , {\displaystyle f,} and
denoted coim f {\displaystyle \operatorname {coim} f} (or a variation). The
coimage is naturally...
- . This is the
generalization to
linear operators of the row space, or
coimage, of a matrix. The
notion of
kernel also
makes sense for
homomorphisms of...
- theorem,
which states that: C ≅ B/ker r ≅ B/q(A) (i.e., C
isomorphic to the
coimage of r or
cokernel of q) to: B = q(A) ⊕ u(C) ≅ A ⊕ C
where the
first isomorphism...
-
abelian category (a
special kind of
preadditive category) the
image and
coimage of a
morphism f are
given by im ( f ) = ker (
coker f ) , coim ...
-
Normal morphism Dual (category theory)
Groupoid Image (category theory)
Coimage Commutative diagram Cartesian morphism Slice category Isomorphism of categories...
- X
given by g ↦ g · x. The
image of this map is the
orbit of x and the
coimage is the set of all left
cosets of Gx. The
standard quotient theorem of set...
-
epimorphism followed by a monomorphism. This
epimorphism is
called the
coimage of f,
while the
monomorphism is
called the
image of f.
Subobjects and quotient...
