- In mathematics, an
endomorphism is a
morphism from a
mathematical object to itself. An
endomorphism that is also an
isomorphism is an automorphism. For...
-
under consideration. The
endomorphism ring
consequently encodes several internal properties of the object. As the
endomorphism ring is
often an algebra...
-
algebra and
field theory, the
Frobenius endomorphism (after
Ferdinand Georg Frobenius) is a
special endomorphism of
commutative rings with
prime characteristic...
- case
where V = W {\displaystyle V=W} , a
linear map is
called a
linear endomorphism.
Sometimes the term
linear operator refers to this case, but the term...
- of
prime characteristic p, R → R, x → xp is a ring
endomorphism called the
Frobenius endomorphism. If R and S are rings, the zero
function from R to S...
-
polynomial of an
endomorphism of a finite-dimensional
vector space is the
characteristic polynomial of the
matrix of that
endomorphism over any
basis (that...
- a
lattice endomorphism is a
lattice homomorphism from a
lattice to itself, and a
lattice automorphism is a
bijective lattice endomorphism.
Lattices and...
-
homomorphism that
sends an
invertible n-by-n
matrix g {\displaystyle g} to an
endomorphism of the
vector space of all
linear transformations of R n {\displaystyle...
-
point of
category theory. A
homomorphism may also be an isomorphism, an
endomorphism, an automorphism, etc. (see below). Each of
those can be
defined in a...
- with
identical source and target) is an
endomorphism of X. A
split endomorphism is an
idempotent endomorphism f if f
admits a
decomposition f = h ∘ g...
