论文标题

可超过晶格的模块化表征

A modular characterization of supersolvable lattices

论文作者

Foldes, Stephan, Woodroofe, Russ

论文摘要

我们根据某个模块化类型的关系来表征可超过的晶格。麦克纳马拉(McNamara)和托马斯(Thomas)早些时候将这类晶格描述为那些具有最大链的分级晶格,由左模元素组成。我们的表征取代了左模元元素最大链上的第二个模块化条件的渐变条件。

We characterize supersolvable lattices in terms of a certain modular type relation. McNamara and Thomas earlier characterized this class of lattices as those graded lattices having a maximal chain that consists of left-modular elements. Our characterization replaces the condition of gradedness with a second modularity condition on the maximal chain of left-modular elements.

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