From involution sets, graphs and loops to loop-nearrings

Silvia Pianta; Helmut Karzel; Elena Zizioli

doi:10.1007/1-4020-3391-5_12

From involution sets, graphs and loops to loop-nearrings

Silvia Pianta, Helmut Karzel, Elena Zizioli

Risultato della ricerca: Contributo in libro › Chapter

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
Titolo della pubblicazione ospite	Nearrings and Nearfields
Editor	Hubert Kiechle, Alexander Kreuzer, Momme Johs Thomsen
Pagine	235-252
Numero di pagine	18
DOI	https://doi.org/10.1007/1-4020-3391-5_12
Stato di pubblicazione	Pubblicato - 2005

Keywords

graph
loop
nearring

Accesso al documento

10.1007/1-4020-3391-5_12

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