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Displaying 141 – 160 of 243

Principal convergences on lattice ordered groups

Ján Jakubík (1996)

Czechoslovak Mathematical Journal

Principal projection bands of a Riesz space

J. Jakubík (1976)

Colloquium Mathematicae

Projectability and weak homogeneity of pseudo effect algebras

Ján Jakubík (2009)

Czechoslovak Mathematical Journal

In this paper we deal with a pseudo effect algebra $𝒜$ possessing a certain interpolation property. According to a result of Dvurečenskij and Vettterlein, $𝒜$ can be represented as an interval of a unital partially ordered group $G$ . We prove that $𝒜$ is projectable (strongly projectable) if and only if $G$ is projectable (strongly projectable). An analogous result concerning weak homogeneity of $𝒜$ and of $G$ is shown to be valid.

Prüfer $d$ -groups

Jiří Močkoř (1978)

Czechoslovak Mathematical Journal

Quasimartingales et formes linéaires associées

Giorgio Letta (1979)

Séminaire de probabilités de Strasbourg

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.

Sequential convergences in $ℓ$ -groups without Urysohn’s axiom

Ján Jakubík (1992)

Czechoslovak Mathematical Journal

Sequential convergences on cyclically ordered groups

Matúš Harminc (1988)

Mathematica Slovaca

Sequential convergences on free lattice ordered groups

Ján Jakubík (1992)

Mathematica Bohemica

In this paper the partially ordered set Conv $G$ of all sequential convergences on $G$ is investigated, where $G$ is either a free lattice ordered group or a free abelian lattice ordered group.

Sequential convergences on generalized Boolean algebras

Ján Jakubík (2002)

Mathematica Bohemica

In this paper we investigate convergence structures on a generalized Boolean algebra and their relations to convergence structures on abelian lattice ordered groups.

Currently displaying 141 – 160 of 243

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