- 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...
- 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...
- 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...
- homomorphisms. A
module homomorphism from a
module M to
itself is
called an
endomorphism and an
isomorphism from M to
itself an automorphism. One
writes End R...
-
multiplication (CM) is the
theory of
elliptic curves E that have an
endomorphism ring
larger than the integers. Put
another way, it
contains the theory...
- In
linear algebra, the
trace of a
square matrix A,
denoted tr(A), is the sum of the
elements on its main diagonal, a 11 + a 22 + ⋯ + a n n {\displaystyle...
- 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...
- all R-linear maps
forms a ring, also
called the
endomorphism ring and
denoted by EndR(V). The
endomorphism ring of an
elliptic curve. It is a commutative...
