- In mathematics, an
endomorphism is a
morphism from a
mathematical object to itself. An
endomorphism that is also an
isomorphism is an automorphism. For...
-
ranging from 1 to 7 for each of the
three somatotypes,
where the pure
endomorph is 7–1–1, the pure
mesomorph 1–7–1 and the pure
ectomorph scores 1–1–7...
-
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...
-
determinant of a
linear endomorphism determines how the
orientation and the n-dimensional
volume are
transformed under the
endomorphism. This is used in calculus...
- In mathematics, the
endomorphisms of an
abelian group X form a ring. This ring is
called the
endomorphism ring of X,
denoted by End(X); the set of all...
- 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...
-
polynomial of an
endomorphism of a finite-dimensional
vector space is the
characteristic polynomial of the
matrix of that
endomorphism over any
basis (that...
-
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...
- E. In the case when M = R (****umed unital), the
endomorphism ring EndR(R) = R,
where each
endomorphism arises as left
multiplication by a
fixed ring element...
