STATES, UNIFORMITIES AND METRICS ON LATTICE EFFECT ALGEBRAS
Zdenka Riečanová · International Journal of Uncertainty Fuzziness and Knowledge-Based Systems · 2002
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.