Turkish Journal of Mathematics
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 $E^\delta$, the Dedekind completion of $E$, $b$-property of $E$ in $E^u$, the universal completion of $E$, and $b$-property of $E$ in $\hat{E}(\hat{\tau})$, the completion of $E$.
DOI
10.3906/mat-2102-114
Keywords
Vector lattice, universal completion, Dedekind completion, $b$-property, local solid vector lattice
First Page
1555
Last Page
1563
Recommended Citation
ALPAY, Ö. Ş, & GOROKHOVA, S (2021). b-Property of sublattices in vector lattices. Turkish Journal of Mathematics 45 (4): 1555-1563. https://doi.org/10.3906/mat-2102-114
