Idempotent means on free binary systems do not exist

Published 15 Jul 2018 in math.CO, math.GR, and math.LO | (1807.05469v1)

Abstract: Free binary systems are shown to not admit idempotent means. This refutes a conjecture of the author. It is also shown that the extension of Hindman's theorem to nonassociative binary systems formulated and conjectured by the author is false.

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Justin Tatch Moore

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