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

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

2005-08-12

arxiv.org/abs/math/0508215v1

Mathematics

General Mathematics

Scientific paper

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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