拟序格小生成集与传递关系的简明方法
A concise approach to small generating sets of lattices of quasiorders and transitive relations
摘要：
由H. Strietz，1975和G. Czédli，1996，所有等价的完全格$Equ(A)$是四生成的，只要大小$|A|$是可访问基数。结果I。Chajda和G. Czédli，1996，G. Takách，1996，T. Dolgos，2015，and J. Kulin 2016，表明$A$上所有拟序的格$Quo(A)$和$|A|\leq \aleph_0$上所有传递关系的格$Tran(A)$都有小的生成集。基于复杂的早期结构，我们以简洁但不完备的方式得到了一些新的结果。
英文摘要：
By H. Strietz, 1975, and G. Czédli, 1996, the complete lattice $Equ(A)$ of all equivalences is four-generated, provided the size $|A|$ is an accessible cardinal. Results of I. Chajda and G. Czédli, 1996, G. Takách, 1996, T. Dolgos, 2015, and J.\ Kulin 2016, show that both the lattice $Quo(A)$ of all quasiorders on $A$ and, for $|A|\leq \aleph_0$, the lattice $Tran(A)$ of all transitive relations on $A$ have small generating sets. Based on complicated earlier constructions, we derive some new results in a concise but not self-contained way.
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