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