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.

Karzel, H., Pianta, S., Zizioli, E., From involution sets, graphs and loops to loop-nearrings, in Kiechle, H., Kreuzer, A., Thomsen, M. J. (ed.), Nearrings and Nearfields, Springer, Dordrecht 2005: 235- 252. 10.1007/1-4020-3391-5_12 [http://hdl.handle.net/10807/55459]

From involution sets, graphs and loops to loop-nearrings

Karzel, Helmut;Pianta, Silvia;Zizioli, Elena
2005

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.
Inglese
Nearrings and Nearfields
1-4020-3390-7
Karzel, H., Pianta, S., Zizioli, E., From involution sets, graphs and loops to loop-nearrings, in Kiechle, H., Kreuzer, A., Thomsen, M. J. (ed.), Nearrings and Nearfields, Springer, Dordrecht 2005: 235- 252. 10.1007/1-4020-3391-5_12 [http://hdl.handle.net/10807/55459]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10807/55459
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