Algebraic integer

Complex number that solves a monic polynomial with integer coefficients

In algebraic number theory, an algebraic integer is a complex number that is integral over the integers. That is, an algebraic integer is a complex root of some monic polynomial whose coefficients are integers. The set of all algebraic integers A is closed under addition, subtraction and multiplication and therefore is a commutative subring of the complex numbers.

This keyword could refer to multiple things. Here are some suggestions: