On Thu, Aug 28, 2003 at 12:14:20AM -0700, Sarad AV wrote: > hi, > > Table shown is completed to define 'associative' > binary operation * on S={a,b,c,d}. > > *|a|b|c|d > --------- > a|a|b|c|d > --------- > b|b|a|c|d > --------- > c|c|d|c|d > --------- > d|d|c|c|d > > > The operation * is associative iff (a*b)*c=a*(b*c) for > all a,b,c element of set S.
> So can (a*d)*d=a*(d*d)=d considered as associative > over * for this case as per definition? a d d d \ / \ / d d a d \ / \ / d = d What's the problem?