Lattice uniformities on pseudo-D-lattices

Avallone, Anna; Vitolo, Paolo

doi:10.2478/s12175-012-0062-5

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Cited by 6 publications

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“…For basic properties of pseudo-effect algebras and pseudo-D-lattices we refer for instance to [4,5,13,14,16]. We now collect some rules.…”

Section: Preliminariesmentioning

confidence: 99%

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Decomposition of Pseudo-effect Algebras and the Hammer–Sobczyk Theorem

Avallone

Barbieri

Vitolo

et al. 2015

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We prove an algebraic and a topological decomposition theorem for complete pseudo-D-lattices (i.e. lattice-ordered pseudo-effect algebras). As a consequence, we obtain a Hammer–Sobczyk type decomposition theorem for group-valued modular measures defined on pseudo-D-lattices and compactness of the range of every (Formula presented.)-valued σ-additive modular measure on a σ-complete pseudo-D-lattice. © 2015 Springer Science+Business Media Dordrech

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“…For basic properties of pseudo-effect algebras and pseudo-D-lattices we refer for instance to [4,5,13,14,16]. We now collect some rules.…”

Section: Preliminariesmentioning

confidence: 99%

“…Here essential tools are the theory of lattice uniformities developed in [26] and the theory of D-uniformities on pseudo-D-lattices developed in [3][4][5][6].…”

Section: Introductionmentioning

confidence: 99%