Positive filters and links in an ℓ-group

DOI10.2989/16073606.2021.1942287OpenAlexW3185156636MaRDI QIDQ5039410

Mahmood Pourgholamhossein, Mohammad Ali Ranjbar

Publication date: 12 October 2022

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2021.1942287

zbMATH Keywords

lattice-ordered grouporder unitpositive filterlocally solid topologylink topologyorder-divisible

Mathematics Subject Classification ID

Topological groups (topological aspects) (54H11) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Ordered topological linear spaces, vector lattices (46A40) Ordered normed spaces (46B40) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) Topological linear spaces and related structures (46Axx) Order, lattices, ordered algebraic structures (06-XX)

Related Items (1)

On the Boolean algebra induced by a unital \(\ell\)-group

Cites Work

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• Topologies arising from metrics valued in abelian \(\ell\)-groups
• Filter and weak link topologies
• Topological groups and related structures
• Topological lattice ordered groups
• Banach lattices
• Topologies on abelian lattice ordered groups induced by a positive filter and completeness
• Unital topology on a unital \(l\)-group
• On the topological mass lattice groups
• A topology on lattice ordered groups
• Measure Theory

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