STATES, UNIFORMITIES AND METRICS ON LATTICE EFFECT ALGEBRAS

ZDENKA RIEČANOVÁ
2002 International Journal of Uncertainty Fuzziness and Knowledge-Based Systems  
Received Revised We show that every state ω on a lattice effect algebra E induces a uniform topology on E. If ω is subadditive this topology coincides with pseudometric topology induced by ω. Further, we show relations between the interval and order topology on E and topologies induced by states. Keywords: lattice effect algebra, state, valuation, interval topology, oredr topology, topology induced by a state 1 2 States, Uniformities and Metrics on Lattice Effect Algebras
doi:10.1142/s0218488502001879 fatcat:q2smyhqozfbbpozfbwwiho2mvy