Una introducción al estudio de grupo, anillo y campo

Abstract

The aim of the current research work was to generate a guide on algebraic structures of groups and rings, in order to study the topics proposed in the Subjects of Abstract Algebra I and II Subjects, belonging to the Mathematics career of Escuela Superior Politécnica de Chimborazo. Thus, it was necessary to consider a documentary-type research with a qualitative approach and descriptive level, it was also necessary to use Latex text editor which was developed by means of a selective, reflexive and critical reading of the existing bibliography on these algebraic structures. The result is a study guide entitled: “An Introduction to the Study of Group, Ring and Field”, which conveniently describes the topics of groups, subgroups and homomorphisms between groups, as well as rings, subrings, integral domains and fraction fields. Once the research finished, it was concluded that the subject of Abstract Algebra, belonging to the Mathematics career requires a rigorous understanding of theorems and demonstrations, and those students who are just starting to study may have difficulties in the learning process, especially on the main topics regarding the group and ring theory. It is recommended to carry on studies on algebraic structures of groups and rings, to consider their applications, research areas, current problems related and possibly other structures of Abstract Algebra.