Role of associativity in Ramsey algebras

Proceedings of the Indian Academy of Sciences. Mathematical sciences

ANDREW RAJAH^1¹ 

[1] School of Mathematical Sciences, Universiti Sains Malaysia, 11800 USM, Malaysia^1

关键词: Binary systems;    Ramsey algebras;    octonions;    semigroups;    associativity;    nonassociative Moufang loops;    alternative algebras;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

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.

【 授权许可】

CC BY