👉 In mathematics, a semidominant element is an element that is not both a zero divisor and a unit. In other words, it has no multiplicative inverse in a ring or field. Semidominants are important because they can be used to construct some of the most famous examples of non-trivial rings, such as the integers mod 3 (Z/3Z) and the algebraic integers Z[i] (Z[i]/(i^2 + 1)).
