| Title of paper:
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On the extension of group-valued measures
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| Author(s):
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| Alžbeta Michalíková
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| Faculty of Natural Sciences, Matej Bel University, Tajovského 40, SK-974 01 Banská Bystrica
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| alzbeta.michalikova@umb.sk
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| Published in:
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"Notes on IFS", Volume 20, 2014, Number 4, pages 19–31
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| Download:
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 PDF (171 Kb, File info)
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| Abstract:
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Since any space of IF-sets can be embedded to an MV-algebra ([12]), and any MV- algebra can be presented as an interval in a lattice ordered group ([9]), it is interesting to study measures with respect to l-groups. In this paper the group-valued outer measures are studied. The main result is the Choquet lemma concerning lower continuity of the induced outer measure. The result is applied to the group-valued measure extension theorem.
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| Keywords:
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Measure, G-valued outer measure.
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| AMS Classification:
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03E72
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| References:
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| Citations:
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