Complex numbers on rings


Authors

DOI:

https://doi.org/10.22517/23447214.18171

Keywords:

anillo, isomorfismo, cociente, cuerpo finito, elemento irreducible

Abstract

The purpose of this paper is to present the construction of the complex numbers by using the set ℝ × ℝ with some special operations and also to show the representation of this set by using special matrices of × and the corresponding algebraic version ℝ[]⁄〈 + 〉. it was also studied the three previous constructions
but for the case ℤ × ℤ , prime and determine whether they remain valid or in its defect, determine under which conditions this is true.

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Author Biographies

Jesús Ávila, Universidad del Tolima

Soy profesor de matemáticas, adscrito al departamento de matemáticas y estadística de la Universidad del Tolima

Juan Sebastian Correa-Amaya, Universidade Federal do Juiz de Fora

Estudiante de maestría en matemáticas en la Universidade Federal do Juiz de Fora

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Published

2018-12-30

How to Cite

Ávila, J., Correa-Amaya, J. S., & Cupitra-Vergara, E. (2018). Complex numbers on rings. Scientia Et Technica, 23(4), 581–585. https://doi.org/10.22517/23447214.18171

Issue

Section

Ciencias Básicas