Let (P, G 1 , G 2 ) be a 2-net where the set C of chains is not empty and let K s be a splitting of P by a chain K ∈ C. Then there correspond two halforders ξ l , ξ r of the set K which are related, and vice versa, if there are given two related halforders of K then there exists a splitting of P by K. The questions "when is ξ l = ξ r ?", "when is ξ l convex or an order?" will be studied. Moreover it will be shown that (P, G 1 , G 2 , {K s }) can be embedded in a halfordered chain structure in the sense of [1]. (2000): 53A60.
Mathematics Subject Classification
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