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arXiv · 2011.11657

A modular characterization of supersolvable lattices

Stephan Foldes·Russ Woodroofe
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Abstract

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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Stephan Foldes, Russ Woodroofe. 2021-04-18. A modular characterization of supersolvable lattices. https://doi.org/10.1090/proc%2F15645

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