b-property of sublattices in vector lattices

Gorokhova, Svetlana; Alpay, Safak

doi:10.3906/mat-2102-114

b-property of sublattices in vector lattices

Gorokhova S., Alpay S.

TURKISH JOURNAL OF MATHEMATICS, cilt.45, sa.4, ss.1555-1563, 2021 (SCI-Expanded, Scopus, TRDizin)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 45 Sayı: 4
Basım Tarihi: 2021
Doi Numarası: 10.3906/mat-2102-114
Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
Sayfa Sayıları: ss.1555-1563
Anahtar Kelimeler: Vector lattice, universal completion, Dedekind completion, b-property, local solid vector lattice, RIESZ SPACES
Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

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 (E) over cap ((tau) over cap), the completion of E.