Espectro primo: uma aplicação de ideais primos e maximais.

Abstract

This work aims to construct a topology over a commutative ring with unit. For this, it was rstly done a review on the concepts rings, prime ideals and maximal as well as quotient rings. Then we present de nitions nilpotent and invertible ring, we use the precept of Zorn, the well-ordering principle and the division algorithm. For the topology of study we introduced the basic and important idea, ranging from the elementary notions of open and closed and connectivity. Ultimately we built a topology on a set of prime ideals of a commutative ring with unity. Through this work we understand it is possible to make applications of algebra in topology, thus contributing to the higher education of mathematics.