- 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...
- In
linear algebra, the
trace of a
square matrix A,
denoted tr(A), is
defined to be the sum of
elements on the main
diagonal (from the
upper left to the...
-
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, a
nilpotent matrix is a
square matrix N such that N k = 0 {\displaystyle N^{k}=0\,} for some
positive integer k {\displaystyle k} ....
- 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...
- 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...
- In mathematics, an
algebra over a
field (often
simply called an algebra) is a
vector space equipped with a
bilinear product. Thus, an
algebra is an algebraic...
