Proceedings of the 2015 International Conference on Intelligent Systems Research and Mechatronics Engineering

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The Algebraic and Ordering Construction of Lattice

Authors
Hongying Mi, Kunlong Zhang
Corresponding Author
Hongying Mi
Available Online April 2015.
DOI
10.2991/isrme-15.2015.104How to use a DOI?
Keywords
Ordering; Map; Lattice; Sublattice
Abstract

Based on the order theory, a study of the differences between the preordering and the ordering and a discussion of the isotone map and homomorphism map are obtained. According to the differences of the constructions of the algebraic lattice and the ordering lattice, we prove the algebraic sublattice and the ordering sublattice are equivalent with the strengthen condition.

Copyright
© 2015, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 2015 International Conference on Intelligent Systems Research and Mechatronics Engineering
Series
Advances in Intelligent Systems Research
Publication Date
April 2015
ISBN
978-94-62520-59-2
ISSN
1951-6851
DOI
10.2991/isrme-15.2015.104How to use a DOI?
Copyright
© 2015, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - CONF
AU  - Hongying Mi
AU  - Kunlong Zhang
PY  - 2015/04
DA  - 2015/04
TI  - The Algebraic and Ordering Construction of Lattice
BT  - Proceedings of the 2015 International Conference on Intelligent Systems Research and Mechatronics Engineering
PB  - Atlantis Press
SP  - 486
EP  - 489
SN  - 1951-6851
UR  - https://doi.org/10.2991/isrme-15.2015.104
DO  - 10.2991/isrme-15.2015.104
ID  - Mi2015/04
ER  -