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, ÖMER ŞAFAK and GOROKHOVA, SVETLANA
(2021)
"b-Property of sublattices in vector lattices,"
Turkish Journal of Mathematics: Vol. 45:
No.
4, Article 5.
https://doi.org/10.3906/mat-2102-114
Available at:
https://journals.tubitak.gov.tr/math/vol45/iss4/5
