N-ary associativity
In algebra, n-ary associativity is a generalization of the associative law to n-ary operations. A ternary operation is ternary associative if one has always ( a b c ) d e = a ( b c d ) e = a b ( c d e ) ; {\displaystyle (abc)de=a(bcd)e=ab(cde);} that is, the operation gives the same result when any three adjacent elements are bracketed inside a sequence of five operands.