Binary Operation

Binary Operation

 

Suppose X is a non-empty finite set, and  is a binary operation on   which is associative i.e. (x.y).z=x.(y.z) for all x,y,z, in z . Show that there is an element   x in x such that x.x=x

Problem 1

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Suppose is a non-empty finite set, and is a binary operation on which is associative i.e. for all. Show that there is an element such that. 

 

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