endomorphism's Usage Examples:

If G is abelian then the set of endomorphisms is already additively.

In mathematics, the Frobenius endomorphism is defined in any commutative ring R that has characteristic p, where p is a prime number.

at one times used to refer to complex elliptic curves whose ring of endomorphisms has rank 2, the maximum possible.

f:V\rightarrow V} is an endomorphism of V {\textstyle V} ; the set of all such endomorphisms End ⁡ ( V ) {\textstyle \operatorname {End} (V)} together with addition.

In the case when M R the endomorphism ring EndR(R) R, where each endomorphism arises as left multiplication by a fixed ring element.

A split endomorphism is an idempotent endomorphism f if f admits a decomposition f h ∘ g.

ring, which is generated over the ring of Witt vectors by two special endomorphisms F and V called the Frobenius and Verschiebung operators.

In general, we can talk about endomorphisms in any category.

of endomorphisms of the free right R-module of rank n; that is, Mn(R) ≅ EndR(Rn).

every endomorphism of the abelian group M which commutes with all R-endomorphisms of M is given by multiplication by a ring element.

It also represents the endomorphisms of an algebra by certain indexings of algebra elements, which can correspond to the usual matrices when the.

In the category of sets, endomorphisms are functions from a set S to itself.

where V W {\displaystyle VW} , a linear map is called a (linear) endomorphism.