-
function composition, the
endomorphisms of an
abelian group form a ring (the
endomorphism ring). For example, the set of
endomorphisms of Z n {\displaystyle...
- {\displaystyle \varphi (x^{p})=\varphi (x)^{p}.} If FR and FS are the
Frobenius endomorphisms of R and S, then this can be
rewritten as: φ ∘ F R = F S ∘ φ . {\displaystyle...
- 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...
-
complex multiplication theory of
abelian varieties A
having enough endomorphisms in a
certain precise sense,
roughly that the
action on the
tangent space...
- 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...
- 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, a
nilpotent matrix is a
square matrix N such that N k = 0 {\displaystyle N^{k}=0\,} for some
positive integer k {\displaystyle k} ....
-
corner ring of R. The
corner ring
arises naturally since the ring of
endomorphisms EndR(aR) ≅ aRa. The
idempotents of R have an
important connection to...
- the
endomorphisms of G form a ring, the
endomorphism ring End(G) of G. The
operations in this ring are
addition and
composition of
endomorphisms. More...
- This is a
straightforward consequence of the change-of-basis formula.
Endomorphisms, are
linear maps from a
vector space V to itself. For a
change of basis...
