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The generalized orthomodularity property: configurations and pastings

机译:广义矫正性质:配置和粘贴

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摘要

In this paper, we consider a generalization of the notion of orthomodularity for posets to the concept of the generalized orthomodularity property (GO-property) by considering the LU-operators. This seemingly mild generalization of orthomodular posets and its order theoretical analysis yield rather strong application to effect algebras and orthomodular structures. Also, for several classes of orthoalgebras, the GO-property yields a completely order-theoretical characterization of the coherence law, and, in turn, of proper orthoalgebras.
机译:在本文中,我们考虑通过考虑Lu-Operators来概念Posets对全面的正交性财产(Go-Property)概念的概念。正视矫正矫正矫正术的普遍化及其秩序理论分析产生相当强的应用以实现代数和正交结构。此外,对于几个类的正常果实,Go-属性会产生完全令人令人令的理论表征的一致性法,而且反过来,适当的正向布拉斯。

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