Normal residuated lattices

被引:1
作者
Ahadpanah, A. [1 ]
Torkzadeh, L. [2 ]
机构
[1] Islamic Azad Univ, Sci & Res Branch, Dept Math, Kerman, Iran
[2] Islamic Azad Univ, Kerman Branch, Dept Math, Kerman, Iran
关键词
Residuated lattice; Normal residuated lattice; (Right and left)stabilizer;
D O I
10.1007/s13370-014-0239-x
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The study of residuated lattices is one of the important topics in algebra. This paper deals with the normal residuated lattices. First we investigate some properties of (right, left) stabilizers and obtain conditions under which right stabilizers become filter. By some examples we show that left stabilizers are not filter. Then we introduce normal residuated lattices and prove some theorems.
引用
收藏
页码:679 / 688
页数:10
相关论文
共 22 条
  • [21] Zhang X.H., 2005, ADV SYST SCI APPL, V5, P475
  • [22] On filter theory of residuated lattices
    Zhu, Yiquan
    Xu, Yang
    [J]. INFORMATION SCIENCES, 2010, 180 (19) : 3614 - 3632