- of this element. Thus a
semigroup homomorphism between groups is
necessarily a
group homomorphism. A ring
homomorphism is a map
between rings that preserves...
- mathematics, a ring
homomorphism is a structure-preserving
function between two rings. More explicitly, if R and S are rings, then a ring
homomorphism is a function...
-
homomorphism sometimes means a map
which respects not only the
group structure (as above) but also the
extra structure. For example, a
homomorphism of...
- map
defined by the matrix. The
kernel of a
homomorphism is
reduced to 0 (or 1) if and only if the
homomorphism is injective, that is if the
inverse image...
- Then, for a
homomorphism f : G → H, (f(u),f(v)) is an arc (directed edge) of H
whenever (u,v) is an arc of G.
There is an
injective homomorphism from G to...
-
composition of
module homomorphisms is
again a
module homomorphism, and the
identity map on a
module is a
module homomorphism. Thus, all the (say left)...
- of two
objects between which a
homomorphism is given, and of the
kernel and
image of the
homomorphism. The
homomorphism theorem is used to
prove the isomorphism...
- of
Heinz Hopf (1935). Whitehead's
original homomorphism is
defined geometrically, and
gives a
homomorphism J : π r ( S O ( q ) ) → π r + q ( S q ) {\displaystyle...
-
continuous homomorphism between real Lie
groups turns out to be (real) analytic. The
composition of two Lie
homomorphisms is
again a
homomorphism, and the...
-
Monoid homomorphisms are
sometimes simply called monoid morphisms. Not
every semigroup homomorphism between monoids is a
monoid homomorphism,
since it...
