Finite Lattices Generating Not Finitely–Based and Nonstandard Quasivarieties
Arapbay M.A. Basheyeva A.O. Lutsak S.M.
2025John Wiley and Sons Ltd
Journal of Mathematics
2025#2025Issue 1
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. Copyright
lattice , quasivariety , topological quasivariety
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Department of Algebra and Geometry, L.N. Gumilyov Eurasian National University, Astana, Kazakhstan
Department of Mathematics and Physics, M. Kozybayev North Kazakhstan University, Petropavlovsk, Kazakhstan
Department of Algebra and Geometry
Department of Mathematics and Physics
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