- 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...
- 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...
- 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...
- 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, a
module homomorphism is a
function between modules that
preserves the
module structures. Explicitly, if M and N are left
modules over a ring...
- the (usual)
Gysin homomorphism induced by the zero-section
embedding X ′ ↪ N {\displaystyle X'\hookrightarrow N} . The
homomorphism i!
encodes intersection...
-
abstract algebra, the
fundamental theorem on
homomorphisms, also
known as the
fundamental homomorphism theorem, or the
first isomorphism theorem, relates...
- In mathematics,
especially in
algebraic topology, an
induced homomorphism is a
homomorphism derived in a
canonical way from
another map. For example, a...
- In mathematics, the J-
homomorphism is a
mapping from the
homotopy groups of the
special orthogonal groups to the
homotopy groups of spheres. It was defined...
- In algebra, the
kernel of a
homomorphism (function that
preserves the structure) is
generally the
inverse image of 0 (except for
groups whose operation...
