b-property of sublattices in vector lattices

Abstract

We study b -property of a sublattice (or an order ideal) F of a vector lattice E . In particular, b -property of E in E δ , the Dedekind completion of E , b -property of E in E u , the universal completion of E , and b -property of E in Eˆ(ˆτ ), the completion of E .