Strong prime LI-ideals in lattice implication algebras
Lijun Bai1, Yang Xu, Zhiyan Chang, Weitao Xu
1Department of Applied Mathematics, Southwest Jiaotong University
Available Online October 2007.
- 10.2991/iske.2007.278How to use a DOI?
- lattice implication algebra; prime LI-ideal; SPLI-ideal; finite union property
In this paper, the notion of strong prime LI-ideals (briefly, SPLI-ideals) of lattice implication algebras is introduced. Four kinds of relations, SPLI-ideals and prime LI-ideals, SPLI-ideals and maximal proper LI-ideals, SPLI-ideals and the finite union property, SPLI-ideals and ultra-filter are then investigated, respectively. Finally, it is concluded that SPLI-ideals are equivalent to maximal proper LI-ideals.
- © 2007, 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
TY - CONF AU - Lijun Bai AU - Yang Xu AU - Zhiyan Chang AU - Weitao Xu PY - 2007/10 DA - 2007/10 TI - Strong prime LI-ideals in lattice implication algebras BT - Proceedings of the 2007 International Conference on Intelligent Systems and Knowledge Engineering (ISKE 2007) PB - Atlantis Press SP - 1624 EP - 1628 SN - 1951-6851 UR - https://doi.org/10.2991/iske.2007.278 DO - 10.2991/iske.2007.278 ID - Bai2007/10 ER -