Implication in Sharply Paraorthomodular and Relatively Paraorthomodular Posets

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Authors

CHAJDA Ivan FAZIO Davide LÄNGER Helmut LEDDA Antonio PASEKA Jan

Year of publication 2024
Type Chapter of a book
MU Faculty or unit

Faculty of Science

Citation
Description 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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