Some unusual epicomplete Archimedean lattice-ordered groups
DOI10.1090/S0002-9939-2015-12448-3zbMath1315.06020OpenAlexW2053538241MaRDI QIDQ5179380
Publication date: 19 March 2015
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-2015-12448-3
reflectionsArchimedean lattice-ordered groups\(f\)-ringslattice-ordered Abelian groups\(\sigma\)-complete groupsepicomplete groups
Representation theory of lattices (06B15) Algebraic properties of function spaces in general topology (54C40) Continuum hypothesis and Martin's axiom (03E50) Epimorphisms, monomorphisms, special classes of morphisms, null morphisms (18A20) Real-valued functions in general topology (54C30) Ordered topological linear spaces, vector lattices (46A40) Extremally disconnected spaces, (F)-spaces, etc. (54G05) Algebraic structures (08A99) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)
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Cites Work
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- Truncated abelian lattice-ordered groups. I: The pointed (Yosida) representation
- On the epicomplete monoreflection of an archimedean lattice-ordered group
- A theorem and a question about epicomplete Archimedean lattice-ordered groups
- \(\ell \)-group homomorphisms between reduced Archimedean \(f\)-rings
- A representation theorem revisited
- Some comments and examples on generation of (hyper-)Archimedean \(\ell\)-groups and \(f\)-rings
- The essential closure of an Archimedean lattice-ordered group
- Epicomplete Archimedean l-Groups and Vector Lattices
- On the structure of a class of archimedean lattice-ordered algebras
- On a Representation Theory for a Class of Archimedean Lattice-Ordered Rings
- Settling a Number of Questions about Hyper-Archimedean Lattice-Ordered Groups
- The Additive Group of an f-ring
- Set Theory
- Unique Representation of Archimedean Lattice Groups and Normal Archimedean Lattice Rings
