Binary Operation is a function. Right?
We know that all Binary operations have associative property.
They must be either associative or non-associative.
The condition is :
$$(a*b)*c = a*(b*c)$$ $$f(f(a, b), c) = f(a, f(b, c))$$ If this condition is true for all a, b, c combinations then the $"*"$ operation is associative.
Also we know that Unary operations does not have an associative property.
like "!" operation as a factorial of any real number.
We may say it is always associative.
But what about Ternary operations?
Do ternary operations have an associative property?
If it has, show me sample please!
How to define a condition of associativity for a Ternary operation?