Algebraic properties of the shift mapping

Dehornoy, Patrick

doi:10.1090/S0002-9939-1989-0969519-4

Algebraic properties of the shift mapping
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Proc. Amer. Math. Soc. 106 (1989), 617-623 Request permission

Abstract:

We investigate the algebraic structure generated by the "shift" mapping $n \to n + 1$ on ${\mathbf {N}}$ under composition and another operation defined below. This allows to prove results about certain free autodistributive structures.

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