endomorphism in a sentence

Examples

1. For example, an endomorphism of a vector space, is a linear map,, and an endomorphism of a category.
2. For example, an endomorphism of a vector space, is a linear map,, and an endomorphism of a category.
3. More categorically, this is not just an isomorphism of endomorphism algebras, but an isomorphism of categories  see categorical considerations.
4. Furthermore, in two dimensions the Ricci curvature endomorphism is always a multiple of the identity ( scaled by Gauss curvature ).
5. An endomorphism of " V " that is also an isomorphism is called an automorphism of " V ".
6. An important property is that an injective endomorphism can be extended to an automorphism of a magma constant sequence of the ) endomorphism.
7. An important property is that an injective endomorphism can be extended to an automorphism of a magma constant sequence of the ) endomorphism.
8. Roughly speaking, this endomorphism comes from the order 2 automorphism of the Dynkin diagram where one ignores the lengths of the roots.
9. This result demonstrates that exponentiation by " p " produces an endomorphism, known as the Frobenius endomorphism of the ring.
10. This result demonstrates that exponentiation by " p " produces an endomorphism, known as the Frobenius endomorphism of the ring.