Finite Lattices Generating Not Finitely–Based and Nonstandard Quasivarieties

M. A. Arapbay, A. O. Basheyeva and S. M. Lutsak

Journal of Mathematics, 2025, vol. 2025, 1-9

Abstract: There are two well-known and closely related problems in lattice theory: Which finite lattices generate finitely-based quasivarieties? and Which finite lattices generate standard quasivarieties? The main goal of the paper is to contribute to both problems. The sufficient conditions under which a given lattice quasivariety is neither finitely axiomatizable nor standard. Based on these conditions, numerous examples of finite lattices generating such quasivarieties are presented.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:1518160

DOI: 10.1155/jom/1518160

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