- of this element. Thus a
semigroup homomorphism between groups is
necessarily a
group homomorphism. A ring
homomorphism is a map
between rings that preserves...
-
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...
- algebra, 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...
- 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...
-
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
Heinz Hopf (1935). Whitehead's
original homomorphism is
defined geometrically, and
gives a
homomorphism J:πr(SO(q))→πr+q(Sq){\displaystyle J\colon...
-
functional analysis, a
topological homomorphism or
simply homomorphism (if no
confusion will arise) is the
analog of
homomorphisms for the
category of topological...
- 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...
- structure, too. In particular, a bounded-lattice
homomorphism (usually
called just "lattice
homomorphism") f{\displaystyle f}
between two
bounded lattices...
