Large filters of quasiorder lattices can be generated by few elements

Published 27 Feb 2023 in math.RA | (2302.13911v4)

Abstract: For a poset $(P;\leq)$, the quasiorders (AKA preorders) extending the poset order "$\leq$" form a complete lattice $F$, which is a filter in the lattice of all quasiorders of the set $P$. We prove that if the poset order "$\leq$" is small, then $F$ can be generated by few elements.

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Gábor Czédli

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