Revista Integración, temas de matemáticas.

Revista Integración, temas de matemáticas

Vol. 30 No. 1 (2012): Revista Integración, temas de matemáticas
Research and Innovation Articles

A walk through the loop rings

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  • Carmen Rosa Giraldo Vergara
Carmen Rosa Giraldo Vergara
Universidade Federal de Minas Gerais, Departamento de Matemática, Belo Horizonte, MG, Brasil.

Published 2012-08-21

Keywords

  • quasigroup,
  • loops,
  • Moufang,
  • alternative ring,
  • loop rings

How to Cite

Giraldo Vergara, C. R. (2012). A walk through the loop rings. Revista Integración, Temas De matemáticas, 30(1), 15–24. Retrieved from https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/2699

Abstract

The loop ring theory is more that a generalization of group rings; in fact, it is a theory with its own spirit, with origin and still in development. The loop rings borns in 1944 with the works of R. H. Bruck about construction of non-associative rings. In recent years, this theory was developed largely, and as an example of this we know now the complete description of the loop of invertible elements of the Zorn algebra. In this paper we travel through the development of this theory that has intrigued mathematicians from different areas.

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References

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