Uma Introdução aos Ideais Primos e Maximais

Abstract

The present work has as target audience all students who have experience in number theory. Some concepts of commutative algebra will be presented in relation to number theory, more precisely, we will study prime ideals and maximal ideals, having as main results the following theorems: the intersection of all prime ideals, called the Nilradical of Z, is equal to zero, and the intersection of all maximal ideals, called the Radical of Jacobson of Z, is also equal to zero.