Proceedings of the 2016 4th International Conference on Machinery, Materials and Information Technology Applications

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On the Lattice of Convex Sub-lattices of a Lattice

Authors
Yi-Hui Zhang, Miao-Ling Wu, Kun-Lun Zhang
Corresponding Author
Yi-Hui Zhang
Available Online January 2017.
DOI
10.2991/icmmita-16.2016.163How to use a DOI?
Keywords
Lattice; sub-lattice; convex sub-lattice; equational class.
Abstract

In his classical work imply that [1], G. Gratzer had asked that for what equational classes , and imply that (see Problem 1.10 in [1] ).In the present note, a necessary and sufficient condition for such classes will be given.

Copyright
© 2017, 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 2016 4th International Conference on Machinery, Materials and Information Technology Applications
Series
Advances in Computer Science Research
Publication Date
January 2017
ISBN
978-94-6252-285-5
ISSN
2352-538X
DOI
10.2991/icmmita-16.2016.163How to use a DOI?
Copyright
© 2017, 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  - Yi-Hui Zhang
AU  - Miao-Ling Wu
AU  - Kun-Lun Zhang
PY  - 2017/01
DA  - 2017/01
TI  - On the Lattice of Convex Sub-lattices of a Lattice
BT  - Proceedings of the 2016 4th International Conference on Machinery, Materials and Information Technology Applications
PB  - Atlantis Press
SP  - 879
EP  - 882
SN  - 2352-538X
UR  - https://doi.org/10.2991/icmmita-16.2016.163
DO  - 10.2991/icmmita-16.2016.163
ID  - Zhang2017/01
ER  -