Loomis-Sikorski representation of monotone \(\sigma\)-complete effect algebras (Q2492319)
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| Language | Label | Description | Also known as |
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| English | Loomis-Sikorski representation of monotone \(\sigma\)-complete effect algebras |
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Loomis-Sikorski representation of monotone \(\sigma\)-complete effect algebras (English)
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9 June 2006
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In this paper monotone effect algebras with the Riesz decomposition property are shown to be \(\sigma\)-homomorphic images of effect-tribes with the Riesz decomposition property, which are effect algebras of fuzzy sets closed under pointwise limits of non-decreasing fuzzy sets.
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effect algebra
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monotone \(\sigma\)-completeness
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state
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extremal state
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Baire space
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unital po-group
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effect-tribe
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Riesz decomposition property
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Loomis-Sikorski theorem
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affine function
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