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→Definition: I reworded the bit about being an "endomorphism", because that implies that the codomain is equal to the ___domain, which is unnecessarily restrictive. |
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Without the requirement that ''f''(1) = 1, one could still have ''f''(1) = 0, but then ''f''(''a'') = 0 for all positive integers ''a'', so this is not a very strong restriction.
The definition above can be rephrased using the language of algebra: A completely multiplicative function is an
==Examples==
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