Inteiros de Eisenstein

Abstract

Since the works of Gauss, several researchers have been interested in the study of rings that have an arithmetic similar to that of integers. Among them, the ring of Gaussian integers stands out, which is composed of complex numbers that have a real part and an integer imaginary part. Another example of great importance in this context is the Eisenstein ring of integers, which is the object of study of this article. In this work, Eisenstein’s integers will be presented, focusing on their algebraic properties, in addition to providing geometric interpretations of some results.