From involution sets, graphs and loops to loop-nearrings

Silvia Pianta, Helmut Karzel, Elena Zizioli

Risultato della ricerca: Contributo in libroChapter

Abstract

This is a general frame for a theory which connects the areas of loops, involution sets and graphs with parallelism. Our main results are stated in 5, 6 and 7. In 5 we derive a partial binary operation from an involution set and we discuss if such operation is a, Bol operation or a K-operation, in 6, we relate involution sets with loops. In 7 we look for the possibility to construct loop-nearrings by considering the automorphism groups of loops.
Lingua originaleEnglish
Titolo della pubblicazione ospiteNearrings and Nearfields
EditorHubert Kiechle, Alexander Kreuzer, Momme Johs Thomsen
Pagine235-252
Numero di pagine18
DOI
Stato di pubblicazionePubblicato - 2005

Keywords

  • graph
  • loop
  • nearring

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