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arXiv:1807.05469 [math.CO]AbstractReferencesReviewsResources

Idempotent means on free binary systems do not exist

Justin Tatch Moore

Published 2018-07-15Version 1

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.

Comments: 4 pages, comments welcome
Categories: math.CO, math.GR, math.LO
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