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arXiv · 2301.09529

Implication in sharply paraorthomodular and relatively paraorthomodular posets

Ivan Chajda·Davide Fazio·Helmut Länger·Antonio Ledda·Jan Paseka
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Abstract

In this paper we show that several classes of partially ordered structures having paraorthomodular reducts, or whose sections may be regarded as paraorthomodular posets, admit a quite natural notion of implication, that admits a suitable notion of adjointness. Within this framework, we propose a smooth generalization of celebrated Greechie's theorems on amalgams of finite Boolean algebras to the realm of Kleene lattices.

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Ivan Chajda, Davide Fazio, Helmut Länger, Antonio Ledda, Jan Paseka. 2023-01-23. Implication in sharply paraorthomodular and relatively paraorthomodular posets. https://arxiv.org/abs/2301.09529

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