Notes on planar semimodular lattices. VI. On the structure theorem of planar semimodular lattices

被引：5

作者：

Graetzer, G. ^{[1
]}

机构：

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

来源：

ALGEBRA UNIVERSALIS | 2013年 / 69卷 / 04期

关键词：

semimodular lattice; planar lattice; slim lattice; rectangular lattice;

D O I：

10.1007/s00012-013-0233-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In a recent paper, G. Cz,dli and E. T. Schmidt present a structure theorem for planar semimodular lattices. In this note, we present an alternative proof.

引用

页码：301 / 304

页数：4

共 7 条

[1]

[Anonymous], 2006, The Congruences of a Finite Lattice: A Proof-by-Picture Approach

[2] Slim Semimodular Lattices. II. A Description by Patchwork Systems [J].

Czedli, Gabor ;

Schmidt, E. Tamas .

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

[3] Slim Semimodular Lattices. I. A Visual Approach [J].

Czedli, Gabor ;

Schmidt, E. Tamas .

ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2012, 29 (03) :481-497

[4]

Grätzer G, 2011, LATTICE THEORY: FOUNDATION, P1, DOI 10.1007/978-3-0348-0018-1

[5]

Grätzer G, 2009, ACTA SCI MATH, V75, P29

[6]

Grätzer G, 2010, ACTA SCI MATH, V76, P3

[7]

Grätzer G, 2007, ACTA SCI MATH, V73, P445

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