论文标题
对弱和双重弱的骨质晶格的含义
Implication in weakly and dually weakly orthomodular lattices
论文作者
论文摘要
作者在最近的一篇论文中引入了弱矫形和双重弱的晶格。类似地，对于正数晶格，我们尝试在这些晶格中引入一种含义，该晶格可以很容易被公理化并产生一个不错的晶格结构。如本文所示，这可以通过几种不同的方式实现。此外，我们揭示了弱和双重弱的晶格与残留结构的联系。此外，我们通过某些广义措施提供了这些晶格的表征。
Weakly orthomodular and dually weakly orthomodular lattices were introduced by the authors in a recent paper. Similarly as for orthomodular lattices we try to introduce an implication in these lattices which can be easily axiomatized and which yields a nice lattice structure. As shown in the paper, this can be realized in several different ways. Moreover, we reveal the connection of weakly and dually weakly orthomodular lattices to residuated structures. Moreover, we provide a characterization of these lattices by means of certain generalized measures.
