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By H. Strietz, 1975, and G. Cz\'edli, 1996, the complete lattice $Equ(A)$ ofall equivalences is four-generated, provided the size $|A|$ is an accessiblecardinal. Results of I. Chajda and G. Cz\'edli, 1996, G. Tak\'ach, 1996, T.Dolgos, 2015, and J.\ Kulin 2016, show that both the lattice $Quo(A)$ of allquasiorders on $A$ and, for $|A|\leq \aleph_0$, the lattice $Tran(A)$ of alltransitive relations on $A$ have small generating sets. Based on complicatedearlier constructions, we derive some new results in a concise but notself-contained way.

A concise approach to small generating sets of lattices of quasiorders and transitive relations