Datensatz Zitierlink: 
http://hdl.handle.net/20.500.12708/195708
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Titel: 
Implication in sharply paraorthomodular and relatively paraorthomodular posets
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Zitat: 
Chajda, I., Fazio, D., Länger, H., Ledda, A., & Paseka, J. (2024). Implication in sharply paraorthomodular and relatively paraorthomodular posets. In J. Malinowski & R. Palczewski (Eds.), Janusz Czelakowski on Logical Consequence (Vol. 27, pp. 419–446). Springer. https://doi.org/10.1007/978-3-031-44490-6
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Verlags-DOI: 
10.1007/978-3-031-44490-6
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Publikationstyp: 
Buchbeitrag - Beitrag in Sammelband
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Sprache: 
Englisch
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Autor_innen: 
Chajda, Ivan 
Fazio, Davide 
Länger, Helmut 
Ledda, Antonio 
Paseka, Jan 
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Organisations­einheit: 
E104 - Institut für Diskrete Mathematik und Geometrie 
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Erschienen in: 
Janusz Czelakowski on Logical Consequence 
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ISBN: 
978-3-031-44489-0
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Datum (veröffentlicht): 
Mär-2024
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Umfang: 
28
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Verlag: 
Springer, Cham
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Keywords: 
paraorthomodular poset; relatively paraorthomodular poset; sharply paraorthomodular poset; orthogonal poset; Kleene poset; weakly Boolean poset; Kleene lattice; logics of quantum mechanics; orthomodular lattice; orthomodular poset; amalgam of Kleene lattices; atomic amalgam; adjointness; Sasaki implication
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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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Projekt (extern): 
Austrian Science Fund
Czech Science Foundation
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Projektnummer: 
I 4579-N
20-09869L
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Forschungs­schwerpunkte: 
Beyond TUW-research foci: 100%
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Wissenschafts­zweig: 
1010 - Mathematik: 100%
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