Abstract
A survey concerning morphisms on a semiorthoposet (SOP) is presented. It is pointed out that various types of SOPs possess an order-determining set of morphisms with a specified range. This result is applied to obtain representations of SOPs in terms of SOPs of sets and SOPs of functions. Connections between SOPs and effect algebras as well as tensor products of SOPs are obtained. Proofs of results are omitted and will be presented in a later publication.
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