CHARACTERIZATIONS OF ATOMISTIC COMPLETE FINITE LATTICES RELATIVE TO GEOMETRIC ONES

被引：1

作者：

Mao, Hua ^{[1
]}

机构：

[1] Hebei Univ, Dept Math, POB 071002, Baoding City, Peoples R China

来源：

MISKOLC MATHEMATICAL NOTES | 2016年 / 17卷 / 01期

关键词：

geometric lattice; classification system; classification lattice; atomistic complete lattice; finite lattice;

D O I：

10.18514/MMN.2016.677

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

S. Radeleczki in 2002 raised the open problem of the characterization of those atomistic complete lattices whose classification lattices are geometric. This paper solves the problem for the finite cases.

引用

页码：421 / 440

页数：20

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[2]

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[3]

Ganter B., 2011, S APPL LATT THEOR

[4]

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[5]

Gratzer G., 1998, General Lattice Theory

[6]

Korei A., 2006, CONTR 4 INT C FORM C, P41

[7]

Radeleczki S., 2002, Discussiones Mathematicae General Algebra and Applications, V22, P167, DOI 10.7151/dmgaa.1056

[8] SUBDIRECT DECOMPOSITION OF CONCEPT LATTICES [J].

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ALGEBRA UNIVERSALIS, 1983, 17 (03) :275-287

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