Q on associative binary operation

[Sarad AV]

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?

Regards Sarath.




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