Abstract. In this paper, we generalise the notion of partial well-orderability and consider its relation to partial difference operations possibly definable. Results on these and generalised PWO-posets with systems of invariants for V-PWO posets are also formulated. These are relevant in partial algebras with differences and pseudonatural number systems for very generalised abstract model theory in particular.
2000 Mathematics Subject Classification. 04A10, 08A99, 08A55.
Key words and phrases. PWO-posets, posets, V-PWO posets, differences,difference posets, pseudo-natural number systems, ortho algebras, PWO-intervals.