| 11. | Where is an endomorphism of, is an endomorphism of, and and are homomorphisms.
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| 12. | Where is an endomorphism of, is an endomorphism of, and and are homomorphisms.
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| 13. | In any category, the composition of any two endomorphisms of is again an endomorphism of.
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| 14. | Endomorphism ring theorems and converses were investigated later by Mueller, Morita, Onodera and others.
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| 15. | This is analogous to the fact that the classification of vector spaces with one endomorphism is nontrivial.
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| 16. | Next, one notes that the set of endomorphisms of an abelian group is an endomorphism ring.
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| 17. | An injective endomorphism can be extended to an automorphism of a magma constant sequence of the endomorphism.
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| 18. | An injective endomorphism can be extended to an automorphism of a magma constant sequence of the endomorphism.
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| 19. | Thus the endomorphism ring of the module " M " is " as small as possible ".
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| 20. | The action of an endomorphism on its space of definition is shown to be a Hopf-Galois action.
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