We prove the equivalence of EL-shellability and the existence of recursive atom ordering independent of roots. We show that a comodernistic lattice, as defined by Schweig and Woodroofe, admits a recursive atom ordering independent of roots, therefore is EL-shellable. We also present and discuss a simpler EL-shelling on one of the most important classes of comodernistic lattice, the order congruence lattices.

中文翻译：

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共现代格上的EL脱壳

我们证明了EL可壳性的等效性以及与根无关的递归原子序的存在。我们表明，如Schweig和Woodroofe所定义的共现代晶格接受了与根无关的递归原子排序，因此是可EL封装的。我们还介绍和讨论一种最简单的EL脱壳，它是共现代晶格中最重要的一类，即阶等价晶格。