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.

中文翻译：

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广义正模性质：配置和粘贴

在本文中，我们通过考虑| $ LU $ |，来考虑针对姿势的正交模态概念到广义正交模态属性（GO-property）概念的推广。-操作员。看起来很适度的正交模块位姿的泛化及其阶次理论分析在影响代数和正交模块结构方面具有相当强的应用价值。同样，对于几类正交代数，GO属性产生了相干定律以及相应的正交代数的完全阶理论表征。