Notes on Planar Semimodular Lattices. VII. Resections of Planar Semimodular Lattices

被引：12

作者：

Czedli, Gabor ^{[1
]}

Graetzer, George ^{[2
]}

机构：

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

[2] Univ Manitoba, Dept Math, Winnipeg, MB R3T 2N2, Canada

来源：

ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS | 2013年 / 30卷 / 03期

关键词：

Semimodular; Planar; Cover-preserving; Slim; Rectangular;

D O I：

10.1007/s11083-012-9281-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A recent result of G. Cz,dli and E.T. Schmidt gives a construction of slim (planar) semimodular lattices from planar distributive lattices by adding elements, adding "forks". We give a construction that accomplishes the same by deleting elements, by "resections".

引用

页码：847 / 858

页数：12

共 18 条

[1]

Czedli G., 2013, LATTICE THE IN PRESS

[2]

Czedli G., COMPOSITION SERIES G

[3]

Czedli G., ARXIV12063679

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Czedli, Gabor ;

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Czedli, Gabor ;

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[7] Representing homomorphisms of distributive lattices as restrictions of congruences of rectangular lattices [J].

Czedli, Gabor .

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Czedli, Gabor ;

Schmidt, E. Tamas .

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[9] The Matrix of a Slim Semimodular Lattice [J].

Czedli, Gabor .

ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2012, 29 (01) :85-103

[10]

Grätzer G, 2008, ACTA SCI MATH, V74, P37

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