Analyzing and understanding the possibility of solving polynomial equations is an question
that has accompanied the mathematical environment for many centuries and is strongly
related to many of the developments in algebraic/mathematical knowledge. In this sense,
mathematical theories that address, in their different aspects, this content are essential.
Therefore, the present work seeks to understand the singularity that instigated a significant
advance in the studies of polynomial equations that echoed in other branches of Mathe
matics, the Galois Theory. To this end, the aim is to initially expose the basic algebraic
resources (groups, rings, ring homomorphism, fields, field extensions) to the edifying assi
milation of the particularities existing in Galois Theory.
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