On Loops with a Special Property 1

  title={On Loops with a Special Property 1},
  author={RAFAEL ARTZY},
  • 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
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Gewebe und Gruppen, Math

  • G. Bol
  • Ann. vol
  • 1937
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