Patch extensions and trajectory colorings of slim rectangular lattices

被引：15

作者：

Czedli, Gabor ^{[1
]}

机构：

[1] Univ Szeged, Bolyai Inst, H-6720 Szeged, Hungary

来源：

ALGEBRA UNIVERSALIS | 2014年 / 72卷 / 02期

关键词：

rectangular lattice; patch lattice; slim semimodular lattice; congruence lattice; lattice coloring; quasi-coloring; quasiordering; fork extension; multi-fork extension; patch extension; SEMIMODULAR LATTICES; DISTRIBUTIVE LATTICES; THEOREM;

D O I：

10.1007/s00012-014-0294-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

With the help of our new tools in the title, we give an efficient representation of the congruence lattice of a slim rectangular lattice by an easy-to-visualize quasiordering on the set of its meet-irreducible elements or, equivalently, on the set of its trajectories.

引用

页码：125 / 154

页数：30

共 29 条

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Czedli, Gabor ;

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ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2013, 30 (02) :689-721

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