Extremal units in an Archimedean Riesz space

zbMath0428.46008MaRDI QIDQ1137219

Lewis C. Robertson, Anthony W. Hager

Publication date: 1978

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1978__59__97_0

zbMATH Keywords

maximal idealsprime idealstrong unitYosida representationarchimedean Riesz space

Mathematics Subject Classification ID

Ideals, maximal ideals, boundaries (46J20) Algebraic properties of function spaces in general topology (54C40) Ordered groups (06F15) Ordered topological linear spaces, vector lattices (46A40)

Related Items (9)

Bounded equivalence of hull classes in Archimedean lattice-ordered groups with unit. ⋮ Unnamed Item ⋮ The Freudenthal spectral theorem and sufficiently many projections in Archimedean vector lattices ⋮ Convex vector lattices and l-algebras ⋮ Some modifications of hull operators in Archimedean lattice-ordered groups with weak unit ⋮ \(*\)-maximum lattice-ordered groups. ⋮ Various disconnectivities of spaces and projectabilities of \(\ell\)-groups ⋮ \(B\)-saturated hull classes in \(\ell\)-groups and covering classes of spaces. ⋮ Weakly least integer closed groups

Cites Work

• Convex vector lattices and l-algebras
• On the structure of a class of archimedean lattice-ordered algebras
• Order-Cauchy Completions of Rings and Vector Lattices of Continuous Functions
• On vector lattice with a unit
• On the representation of the vector lattice
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