scientific article; zbMATH DE number 7255220

zbMath1446.06025MaRDI QIDQ4969298

Anthony W. Hager, Ricardo E. Carrera

Publication date: 5 October 2020

Full work available at URL: http://cgasa.sbu.ac.ir/article_87552.html

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zbMATH Keywords

lattice-ordered groupweak unitessential extensionArchimedeanpartially ordered semigrouphull operatorbounded monocoreflection

Mathematics Subject Classification ID

Compactness (54D30) Categorical methods in general topology (54B30) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Ordered semigroups and monoids (06F05) Ordered groups (06F15) Free lattices, projective lattices, word problems (06B25)

Related Items (5)

Minimum proper extensions in some lattices of subalgebras ⋮ On minimum proper essential extensions in a category ⋮ Some modifications of hull operators in Archimedean lattice-ordered groups with weak unit ⋮ Atoms in the lattice of covering operators in compact Hausdorff spaces ⋮ The category of compactifications and its coreflections

Cites Work

• Bounded equivalence of hull classes in Archimedean lattice-ordered groups with unit.
• \(B\)-saturated hull classes in \(\ell\)-groups and covering classes of spaces.
• Projective topological spaces
• Extremal units in an Archimedean Riesz space
• Algebraic extensions of an archimedean lattice-ordered group. I
• Groupes et anneaux reticules
• Polar functions. II: Completion classes of archimedean \(f\)-algebras vs. covers of compact spaces
• The essential closure of an Archimedean lattice-ordered group
• On hull classes of ℓ-groups and covering classes of spaces
• The hulls of representablel-groups andf-rings
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