paper

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

arXiv:math/0508215

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