👉 In mathematics, a preternormal is an element in a ring or field that satisfies certain properties. These properties are designed to ensure the ring or field has no zero divisors and every nonzero element has multiplicative inverse. For example, the ring of integers modulo p (where p is prime) is a preternormal. In this ring, any nonzero integer can be expressed as a power of 2, since there exists only one non-trivial divisor of 1, which is 1