Is there an intuitive reason for a certain operation to be associative? – math.stackexchange.com

Is there an intuitive reason for a certain operation to be associative? – math.stackexchange.com

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When I read Pinter's A Book of Abstract Algebra, Exercise 7 on page 25 asks whether the operation $$x*y=\frac{xy}{x+y+1}$$ is associative. At first I considered this to be false, because the ...

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