| 31. | The most used reformulation is that in terms of the homomorphism problem.
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| 32. | In particular, the natural homomorphism is a dependency morphism.
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| 33. | And there is a homomorphism from it to SO ( 4 ).
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| 34. | That's a homomorphism on a normal subgroup of the domain.
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| 35. | :Homomorphisms behave nicely with respect to direct sum decompositions.
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| 36. | A torsionless module is one for which the canonical homomorphism is injective.
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| 37. | Such a homomorphism ? is called a comultiplication if it satisfies certain axioms.
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| 38. | Functors can be thought of as homomorphisms between categories.
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| 39. | Functions get mapped to group homomorphisms between free groups.
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| 40. | The mapping is a ring homomorphism from the ring of limited hyperreals to.
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