论文标题

在Slim,Planar,Semimpular Lattices的一致晶格中

On a property of congruence lattices of slim, planar, semimodular lattices

论文作者

Grätzer, George

论文摘要

在与GáborCzédli的2121张纸中,我们介绍并验证了三个吊销三冠属性3P3C,以归因于Slim,Planar,Semimpular Lattices的一致性晶格。证明很长。在某种程度上,因为它依赖于Czédli在灯上的2021纸。 本文使用摇摆引理(基本和简短的方法)验证3P3C。

In a 2121 paper with Gábor Czédli, we introduced and verified the Three-pendant Three-crown Property, 3P3C, for congruence lattices of slim, planar, semimodular lattices. The proof is very long; in part, because it relies on Czédli's 2021 paper on lamps. This paper verifies 3P3C using the Swing Lemma, an elementary and short approach.

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