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 originale | English |
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Titolo della pubblicazione ospite | Nearrings and Nearfields |
Editor | Hubert Kiechle, Alexander Kreuzer, Momme Johs Thomsen |
Pagine | 235-252 |
Numero di pagine | 18 |
DOI | |
Stato di pubblicazione | Pubblicato - 2005 |
Keywords
- graph
- loop
- nearring