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arxiv: math/0508215 · v1 · submitted 2005-08-12 · 🧮 math.GM

On the Possible Monoid Structures of the Natural Numbers N, or Finding All Associative Binary Operations on N

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keywords possibleanalysisassociativebinarymonoidoperationsstructurescertain
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A certain analysis of all possible associative binary operations on N is presented. This is equivalent with an analysis of all possible monoid structures on N. Several results and a conjecture in this regard are given.

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