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		   2 items are filed under this topic. 
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    An associative binary operation | 
  2008-09-08 | 
   
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  From Skye: Suppose that * is an associative binary operation on a set S. Show that the set H={a E S such that a*x=x*a for all x E S} is closed under *. (We think of H as consisting of all elements of S that commute with every element in S.)
Thanks! Answered by Harley Weston. | 
   
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    Binary operations | 
  2007-07-30 | 
   
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  From jim: prove or disprove:
  
Every binary operation on a set consisting of a single element is both commutative and associative.
 
  Answered by Penny Nom. | 
   
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