- In algebra, a
homomorphism is a structure-preserving map
between two
algebraic structures of the same type (such as two groups, two rings, or two vector...
- In mathematics,
given two groups, (G,∗) and (H, ·), a
group homomorphism from (G,∗) to (H, ·) is a
function h : G → H such that for all u and v in G it...
- In algebra, the
kernel of a
homomorphism (function that
preserves the structure) is
generally the
inverse image of 0 (except for
groups whose operation...
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Without proper rendering support, you may see
question marks, boxes, or
other symbols. 0 (zero) is a
number representing...
- 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...
- ammonites, in
contrast to
regularly coiled ammonites,
which are
called homomorph ammonites. The
biology of the
heteromorph ammonites is not clear, but...
-
abstract algebra, the
fundamental theorem on
homomorphisms, also
known as the
fundamental homomorphism theorem, or the
first isomorphism theorem, relates...
- In algebra, a
module homomorphism is a
function between modules that
preserves the
module structures. Explicitly, if M and N are left
modules over a ring...
- In the
mathematical field of
graph theory, a
graph homomorphism is a
mapping between two
graphs that
respects their structure. More concretely, it is a...
-
homomorphic function (or
homomorph) was a
function between groups that
preserved the product,
while a
homomorphism was the
image of a
homomorph. This form of the...