Elementos da Álgebra Comutativa e o teorema dos zeros de Hilbert

Abstract

The objective of this work is the understanding of the Hilbert Zero Theorem. This is a famous result in the area of Algebra, in particular, Algebraic Geometry that relates three concepts: ideals, radical and affine varieties, in which it constructs a correspondence between ideals and the set of zeros of polynomials (varieties). For this study, you will need some knowledge about the three main topics covered and other more tools, such as Noetherian rings.