Implication in Weakly and Dually Weakly Orthomodular Lattices

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F21%3A73603182" target="_blank" >RIV/61989592:15310/21:73603182 - isvavai.cz</a>
Result on the web
<a href="https://obd.upol.cz/id_publ/333183068" target="_blank" >https://obd.upol.cz/id_publ/333183068</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-030-52163-9_4" target="_blank" >10.1007/978-3-030-52163-9_4</a>

Result language
angličtina
Original language name
Implication in Weakly and Dually Weakly Orthomodular Lattices
Original language description
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. Furthermore, we provide a characterization of these lattices by means of certain generalized measures.
Czech name
—
Czech description
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Project
<a href="/en/project/GF20-09869L" target="_blank" >GF20-09869L: The many facets of orthomodularity</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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