Full lattice convergence on Riesz spaces

The full lattice convergence on a locally solid Riesz space is an abstraction of the topological, order, and relatively uniform convergences. We investigate four modifications c space. first one produces sequential sc. second makes absolute c-convergence generalizes weak convergence. third modification unbounded various convergences recently studied in literature. last applicable whenever commutative l-algebra multiplicative mc c. study general properties with emphasis universally complete spaces Archimedean f-algebras. technique results this paper unify extend those which were developed obtained recent literature