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 Sections 4, 5 and 6. In Section 4 we derive a partial binary operation from a bipartite involution set and we discuss if such operation is a Bol operation or a K-operation, in Section 5, Section 6 we relate involution sets with loops.
Pianta, S., Karzel, H., Zizioli, E., Involution sets, graphs with parallelism and loops, <<Quaderno del Seminario Matematico di Brescia>>, 2003; (24/03): 1-20 [http://hdl.handle.net/10807/55456]
Involution sets, graphs with parallelism and loops
Pianta, Silvia;Karzel, Helmut;Zizioli, Elena
2003
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 Sections 4, 5 and 6. In Section 4 we derive a partial binary operation from a bipartite involution set and we discuss if such operation is a Bol operation or a K-operation, in Section 5, Section 6 we relate involution sets with loops.
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