On Subdirect Decompositions of Finite Distributive Lattices

Subdirect decomposition of algebra is one of its quite general and important constructions. In this paper, some subdirect decompositions (including subdirect irreducible decompositions) of finite distributive lattices and finite chains are studied, and some general results are obtained.

Bibliographic Details
Main Authors: Yizhi Chen, Jing Tian, Zhongzhu Liu
Format: Article
Language:English
Published: Hindawi Limited 2017-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2017/6490903
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spelling doaj-4f8e612f0c484523ae24d21908c0a3392020-11-24T23:40:00ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2017-01-01201710.1155/2017/64909036490903On Subdirect Decompositions of Finite Distributive LatticesYizhi Chen0Jing Tian1Zhongzhu Liu2School of Mathematics and Big Data, Huizhou University, Huizhou, Guangdong 516007, ChinaSchool of Economics and Finance, Xi’an International Studies University, Xi’an, Shaanxi 710128, ChinaSchool of Mathematics and Big Data, Huizhou University, Huizhou, Guangdong 516007, ChinaSubdirect decomposition of algebra is one of its quite general and important constructions. In this paper, some subdirect decompositions (including subdirect irreducible decompositions) of finite distributive lattices and finite chains are studied, and some general results are obtained.http://dx.doi.org/10.1155/2017/6490903
collection DOAJ
language English
format Article
sources DOAJ
author Yizhi Chen
Jing Tian
Zhongzhu Liu
spellingShingle Yizhi Chen
Jing Tian
Zhongzhu Liu
On Subdirect Decompositions of Finite Distributive Lattices
Discrete Dynamics in Nature and Society
author_facet Yizhi Chen
Jing Tian
Zhongzhu Liu
author_sort Yizhi Chen
title On Subdirect Decompositions of Finite Distributive Lattices
title_short On Subdirect Decompositions of Finite Distributive Lattices
title_full On Subdirect Decompositions of Finite Distributive Lattices
title_fullStr On Subdirect Decompositions of Finite Distributive Lattices
title_full_unstemmed On Subdirect Decompositions of Finite Distributive Lattices
title_sort on subdirect decompositions of finite distributive lattices
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2017-01-01
description Subdirect decomposition of algebra is one of its quite general and important constructions. In this paper, some subdirect decompositions (including subdirect irreducible decompositions) of finite distributive lattices and finite chains are studied, and some general results are obtained.
url http://dx.doi.org/10.1155/2017/6490903
work_keys_str_mv AT yizhichen onsubdirectdecompositionsoffinitedistributivelattices
AT jingtian onsubdirectdecompositionsoffinitedistributivelattices
AT zhongzhuliu onsubdirectdecompositionsoffinitedistributivelattices
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