σ-additivity in manuals and orthoalgebras

DavidFeldman; AlexanderWilce

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σ-additivity in manuals and orthoalgebras

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Notions of σ-additivity are introduced for orthoalgebras and for manuals. It is shown that the logic of a σ-additive manual is a σ-additive orthoalgebra, and that, conversely, every σ-additive orthoalgebra arises as such a logic. Using this theorem, it is shown that a given orthoalgebra admits at most one reasonable extension of its orthogonal sum operation to countable jointly orthogonal sets. It is also shown that every orthoalgebra can be embedded in a sigma-orthoalgebra and every orthomodular poset, in a σ

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《order》 |1993年第4期|383-392|共页
作者
DavidFeldman; AlexanderWilce;
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作者单位

University of New Hampshire;

University of Pittsburgh at Johnstown;

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收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种英语
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σ-additivity in manuals and orthoalgebras

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