Displaying similar documents to “Non-associative geometry and discrete structure of spacetime”

Historical notes on loop theory

Hala Orlik Pflugfelder (2000)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

This paper deals with the origins and early history of loop theory, summarizing the period from the 1920s through the 1960s.

A scoop from groups: equational foundations for loops

Phillips, J. D., Petr Vojtěchovský (2008)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

Groups are usually axiomatized as algebras with an associative binary operation, a two-sided neutral element, and with two-sided inverses. We show in this note that the same simplicity of axioms can be achieved for some of the most important varieties of loops. In particular, we investigate loops of Bol-Moufang type in the underlying variety of magmas with two-sided inverses, and obtain ``group-like'' equational bases for Moufang, Bol and C-loops. We also discuss the case when the inverses...