Hindman's Theorem, Ellis's Lemma, and Thompson's group $F$
  The purpose of this article is to formulate conjectural generalizations of Hindman's Theorem and Ellis's Lemma for nonassociative binary systems and relate them to the amenability problem for Thompson's group $F$. Partial results are obtained for both conjectures. The paper will also contain some general analysis of the conjectures. 
Justin Tatch Moore
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