31. For example, an endomorphism of a vector space, is a linear map,, and an endomorphism of a category. 32. For example, an endomorphism of a vector space, is a linear map,, and an endomorphism of a category. 33. More categorically, this is not just an isomorphism of endomorphism algebras, but an isomorphism of categories see categorical considerations. 34. Furthermore, in two dimensions the Ricci curvature endomorphism is always a multiple of the identity ( scaled by Gauss curvature ). 35. An endomorphism of " V " that is also an isomorphism is called an automorphism of " V ". 36. An important property is that an injective endomorphism can be extended to an automorphism of a magma constant sequence of the ) endomorphism. 37. An important property is that an injective endomorphism can be extended to an automorphism of a magma constant sequence of the ) endomorphism . 38. Roughly speaking, this endomorphism comes from the order 2 automorphism of the Dynkin diagram where one ignores the lengths of the roots. 39. This result demonstrates that exponentiation by " p " produces an endomorphism , known as the Frobenius endomorphism of the ring. 40. This result demonstrates that exponentiation by " p " produces an endomorphism, known as the Frobenius endomorphism of the ring.
