Square-free element

In mathematics, a square-free element is an integer or a polynomial that is not divisible by the square of any prime number (in the case of integers) or not divisible by the square of any irreducible polynomial (in the case of polynomials). ### For Integers: An integer \( n \) is square-free if there is no prime \( p \) such that \( p^2 \) divides \( n \).