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Nonexistence of Idempotent Means on Free Binary Systems
Published online by Cambridge University Press: 11 January 2019
Abstract
Free binary systems are shown not to 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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- © Canadian Mathematical Society 2018
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The research represented in this article was funded in part by NSF grant DMS–1600635.
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