👉 In mathematics, a nilpotent element is an element that can be written as a power of another element. In other words, it has a form like this: a^n = 0 where n is some integer and a is any element in a ring or field. For example, consider the ring Z[x] of polynomials over a field K with coefficients in K. The nilpotent elements are those that can be written as a power of x in the polynomial ring R = Z
