Metric Completions of MV-algebras with States: An Approach to Stochastic Independence

IOANA LEUSTEAN

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Metric Completions of MV-algebras with States: An Approach to Stochastic Independence

机译：具有状态的MV代数的度量完成：随机独立性的一种方法

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The state theory on MV-algebras is a generalization of Boolean probability theory and is a counterpart of the theory of states defined on lattice-ordered groups. We first investigate the metric space naturally associated to an MV-algebra with a state. The metric completion of an MV-algebra is defined and characterized in relation with the geometric properties of the corresponding state. We propose a concept of independent probability MV-algebras, attempting to solve an open problem from Riecan and Mundici.

机译：MV-代数的状态理论是布尔概率理论的泛化，并且是在晶格有序组上定义的状态理论的对应形式。我们首先研究与具有状态的MV代数自然相关的度量空间。 MV代数的度量完成度是根据相应状态的几何属性定义和表征的。我们提出了独立概率MV代数的概念，试图解决Riecan和Mundici提出的开放问题。

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来源
《Journal of logic and computation》 |2011年第3期|p.493-508|共16页
作者
IOANA LEUSTEAN;
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作者单位

Faculty of Mathematics and Computer Science, University of Bucharest, Romania and Department of Mathematics, Technische Universitdt Darmstadt, Schlossgartenstrasse 7, 64289 Darmstadt, Germany.;

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原文格式 PDF
正文语种 eng
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关键词
mv-algebras; states; metric completion; probability mv-algebras; stochastic independence;

机译：mv-代数状态;指标完成度;概率mv代数随机独立;

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Metric Completions of MV-algebras with States: An Approach to Stochastic Independence

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