Abstract: We prove that there is a one to one correspondence between monadic finite quasi-modal operators on a distributive nearlattice and quantifiers on the distributive lattice of its finitely generated filters, extending the results given in ``Calomino I., Celani S., González L. J.: Quasi-modal operators on distributive nearlattices, Rev. Unión Mat. Argent. 61 (2020), 339-352".
Keywords: distributive nearlattice; modal operator; filter
DOI: DOI 10.14712/1213-7243.2023.027
AMS Subject Classification: 06A12 06D75 03G25