Abstract

GIRALDO VERGARA, CARMEN ROSA. A walk through the loop rings. Integración - UIS [online]. 2012, vol.30, n.1, pp.15-24. ISSN 0120-419X.

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.

Keywords : quasigroup; loops; Moufang; alternative ring; loop rings.

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