Highly Influenced

# On Loops with a Special Property 1

@inproceedings{ARTZY2010OnLW, title={On Loops with a Special Property 1}, author={RAFAEL ARTZY}, year={2010} }

- Published 2010

1. The loop G is defined, as usual, as a multiplicative system having a unit u, and such that in the equation xy = z any two of x, y, z uniquely determine the third. Let the right inverse element of any #£G be x', so that xx' =u. We postulate a special property w. xy-x'=y for any x and y in G. Such loops are interesting in connection with a generalization [l] of those plane webs whose study inspired the notion of the Moufang loop [2]. The problem which has arisen in this respect2 was the… CONTINUE READING