👉 In mathematics, a nondoctrinaire is a binary operation that has no effect on the result of an addition or subtraction. This means that for any two numbers, there are no values that can be assigned to it such that when they are multiplied together, the product equals 0. For example, consider the operation of multiplication in a ring with zero as the multiplicative identity, which is nondoctrinaire because if $a \times b = 0$, then either $a =