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Subjects
06-XX Order, lattices, ordered algebraic structures
06Fxx Ordered structures
06F20 Ordered abelian groups, Riesz groups, ordered linear spaces

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Displaying 1 – 11 of 11

Radical classes of cyclically ordered groups

Ján Jakubík, Gabriela Pringerová (1988)

Mathematica Slovaca

Radical classes of $M V$ -algebras

Ján Jakubík (1999)

Czechoslovak Mathematical Journal

Regulators of type $α$ of lattice ordered groups

František Šik (1982)

Mathematica Slovaca

Representation and duality of multiplication operators on archimedean Riesz spaces

A. W. Wickstead (1977)

Compositio Mathematica

Representation of Baire functions as continuous functions

C. Tucker (1978)

Fundamenta Mathematicae

Retracts of abelian cyclically ordered groups

Ján Jakubík (1989)

Archivum Mathematicum

Retracts of abelian lattice ordered groups

Ján Jakubík (1989)

Czechoslovak Mathematical Journal

Richesses du centre d'un espace vectoriel réticulé.

Mathieu Meyer (1978)

Mathematische Annalen

Riesz spaces and the ultrafilter theorem, I

G. J. H. M. Buskes, A. C. M. Van Rooij (1992)

Compositio Mathematica

Riesz spaces of order bounded disjointness preserving operators

Fethi Ben Amor (2007)

Commentationes Mathematicae Universitatis Carolinae

Let $L$ , $M$ be Archimedean Riesz spaces and $ℒ_{b} (L, M)$ be the ordered vector space of all order bounded operators from $L$ into $M$ . We define a Lamperti Riesz subspace of $ℒ_{b} (L, M)$ to be an ordered vector subspace $ℒ$ of $ℒ_{b} (L, M)$ such that the elements of $ℒ$ preserve disjointness and any pair of operators in $ℒ$ has a supremum in $ℒ_{b} (L, M)$ that belongs to $ℒ$ . It turns out that the lattice operations in any Lamperti Riesz subspace $ℒ$ of $ℒ_{b} (L, M)$ are given pointwise, which leads to a generalization of the classic Radon-Nikod’ym theorem for Riesz homomorphisms....

Rigid extensions of $ℓ$ -groups of continuous functions

Michelle L. Knox, Warren Wm. McGovern (2008)

Czechoslovak Mathematical Journal

Let $C (X, ℤ)$ , $C (X, ℚ)$ and $C (X)$ denote the $ℓ$ -groups of integer-valued, rational-valued and real-valued continuous functions on a topological space $X$ , respectively. Characterizations are given for the extensions $C (X, ℤ) \leq C (X, ℚ) \leq C (X)$ to be rigid, major, and dense.

Currently displaying 1 – 11 of 11

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