👉 Non-identity in mathematics refers to a property that does not hold for all elements of an algebraic structure. In other words, it is a property that can only be true for certain elements within a set or group. For example, consider the set of integers modulo 5, where each integer has a unique remainder when divided by 5. This means that the non-identity property states that there are exactly two integers in this set that leave a remainder of 4 when divided by 5
