👉 In mathematics, a fixity is a property of a mathematical object or relation that ensures it does not change its value under certain operations. Fixities are important in many areas of mathematics and have been studied for centuries. Fixities can be defined in terms of properties like associativity, commutativity, or the operation itself. For example, if a binary operation is associative (meaning that for every element $a$ and $b$, $a \cdot b = b \cdot a$),
