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Outer measure on effect algebras

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Abstract In the present paper, the notion of an outer measure m* on lattice ordered effect algebras L is introduced and investigated. Carathéodory’s criterion for the outer measure m* is… Click to show full abstract

Abstract In the present paper, the notion of an outer measure m* on lattice ordered effect algebras L is introduced and investigated. Carathéodory’s criterion for the outer measure m* is given and established on L. Properties of an induced outer measure m* defined on a lattice ordered effect algebra L are studied and finally, Choquet theorem is proved for the induced outer measure m* on a σ-complete lattice ordered effect algebra L.

Keywords: outer measure; measure; effect algebras; lattice ordered; ordered effect

Journal Title: Mathematica Slovaca
Year Published: 2017

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