👉 In mathematics, a nulliblical set is an algebraic structure where every element has no multiplicative inverse. This means that the existence of multiplicative inverses for elements in such a set implies that the set itself doesn't have any multiplicative inverses. For example, consider the ring Z of integers with addition as the operation and 0 (the additive identity) as the neutral element. In this ring, every integer has a multiplicative inverse; however, the set of all integers does