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.
Research supported by M.I.U.R.
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Karzel, H., Pianta, S., Zizioli, E. (2005). From Involution Sets, Graphs and Loops to Loop-Nearrings. In: Kiechle, H., Kreuzer, A., Thomsen, M.J. (eds) Nearrings and Nearfields. Springer, Dordrecht. https://doi.org/10.1007/1-4020-3391-5_12
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DOI: https://doi.org/10.1007/1-4020-3391-5_12
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