Direct decompositions of non-algebraic complete lattices

被引：2

作者：

Wehrung, F ^{[1
]}

机构：

[1] Univ Caen, Dept Math, CNRS, UMR 6139, F-14032 Caen, France

来源：

DISCRETE MATHEMATICS | 2003年 / 263卷 / 1-3期

关键词：

complete; lattice; center; direct product; directly indecomposable; join-irreducible; spatial;

D O I：

10.1016/S0012-365X(02)00790-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a given complete lattice L, we investigate whether L can be decomposed as a direct product of directly indecomposable lattices. We prove that this is the case if every element of L is a join of join-irreducible elements and dually, thus extending to nonalgebraic lattices a result of L. Libkin. We illustrate this by various examples and counterexamples. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：311 / 321

页数：11

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