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On the Structure of Generalized Effect Algebras and Separation Algebras

机译:关于广义效应代数和分离代数的结构

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Separation algebras are models of separation logic and effect algebras are models of unsharp quantum logics. We investigate these closely related classes of partial algebras as well as their noncommuta-tive versions and the subclasses of (generalized) (pseudo-)orthoalgebras. We present an orderly algorithm for constructing all nonisomorphic generalized pseudoeffect algebras with n elements and use it to compute these algebras with up to 10 elements.
机译:分离代数是分离逻辑的模型,效应代数是不锐利的量子逻辑的模型。我们研究了部分代数的这些密切相关的类,它们的非交换版本以及(广义)(伪)正代数的子类。我们提出一种有序算法,用于构造具有n个元素的所有非同构广义伪效应代数,并使用它来计算最多包含10个元素的这些代数。

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