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

Elemer E Rosinger
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Abstract

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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Elemer E Rosinger. 2005-08-12. On the Possible Monoid Structures of the Natural Numbers N, or Finding All Associative Binary Operations on N. https://arxiv.org/abs/math/0508215

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