A characterisation of lattice-ordered abelian groups.
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Displaying 1 – 20 of 243
A completion for partially ordered abelian groups.
K. Rosenthal (1984)
Semigroup forum
A constructive proof that every 3-generated l-group is ultrasimplicial
Daniele Mundici, Giovanni Panti (1999)
Banach Center Publications
We discuss the ultrasimplicial property of lattice-ordered abelian groups and their associated MV-algebras. We give a constructive proof of the fact that every lattice-ordered abelian group generated by three elements is ultrasimplicial.
A directed -group that is not a group of divisibility
Andrew M. W. Glass (1984)
Czechoslovak Mathematical Journal
A fundamental functional equation for vector lattices.
Ih-ching Hsu (1975)
Aequationes mathematicae
A Fundamental Functional Equation for Vector Lattices. (Short Communication).
Ih-Ching Hsu (1975)
Aequationes mathematicae
A note on approximation theorems
Jiří Močkoř (1979)
Archivum Mathematicum
A remark on radical-semisimple classes of fully ordered groups
Stefan Veldsman (1987)
Commentationes Mathematicae Universitatis Carolinae
A simplified proof of the Daniell integral extension theorem in ordered spaces
Beloslav Riečan (1982)
Mathematica Slovaca
Abgeschlossene vollständige -Untergruppen der Verbandsgruppen
Mária Jakubíková (1973)
Matematický časopis
Absolute flatness and amalgams in pomonoids.
S.M. Fakhruddin (1986)
Semigroup forum
Absolutely linear relations.
Á. Száz, G. Száz (1980)
Aequationes mathematicae
Absolutely linear relations (Short Communication).
Á. Száz, G. Száz (1979)
Aequationes mathematicae
Additive closure operators on abelian unital -groups
Filip Švrček (2006)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
In the paper an additive closure operator on an abelian unital -group is introduced and one studies the mutual relation of such operators and of additive closure ones on the -algebra .
Affine completeness and lexicographic product decompositions of abelian lattice ordered groups
Ján Jakubík (2005)
Czechoslovak Mathematical Journal
In this paper it is proved that an abelian lattice ordered group which can be expressed as a nontrivial lexicographic product is never affine complete.
Affine completness of projectable lattice ordered groups
Ján Jakubík, Mária Csontóová (1998)
Czechoslovak Mathematical Journal
Algebraic Classes of Abelian Torsion-Free and Lattice-Ordered Groups
Anthony W. Hager, James J. Madden (1984)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
Algebre di Łukasiewicz quasi-locali Stoneane
Francesco Lacava (2001)
Bollettino dell'Unione Matematica Italiana
We prove some properties of quasi-local Ł-algebras. These properties allow us to give a structure theorem for Stonean quasi-local Ł-algebras. With this characterization we are able to exhibit an example which provides a negative answer to the first problem posed in [4].
Archimedean kernel of a lattice ordered group
Ján Jakubík (1978)
Czechoslovak Mathematical Journal
Archimedean unital groups with finite unit intervals.
Foulis, David J. (2003)
International Journal of Mathematics and Mathematical Sciences
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