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Role of associativity in Ramsey algebras |
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| Authors: | Andrew Rajah Wen Chean Teh Zu Yao Teoh |
| Institution: | 1.School of Mathematical Sciences,Universiti Sains Malaysia,USM,Malaysia |
| Abstract: | It is known that semigroups are Ramsey algebras. This paper is an attempt to understand the role associativity plays in a binary system being a Ramsey algebra. Specifically, we show that the nonassociative Moufang loop of octonions is not a Ramsey algebra. |
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