Large filters of quasiorder lattices can be generated by few elements

2023/02/27 by Czédli, Gábor
#06B99 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2302.13911

Abstract

For a poset (P;≤), the quasiorders (AKA preorders) extending the poset order "≤" 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 "≤" is small, then F can be generated by few elements.

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