NORMAL FILTERS IN RESIDUATED LATTICES

被引：1
作者：
Ahadpanah, Afsaneh [1 ]
Torkzadeh, Lida [2 ]
机构：
[1] Islamic Azad Univ, Sci & Res Branch, Dept Math, Kerman, Iran
[2] Islamic Azad Univ, Kerman Branch, Dept Math, Kerman, Iran
来源：
MATEMATICHE | 2015年 / 70卷 / 01期
关键词：
Residuated lattice; (normal; prime; Boolean; fantastic; implicative; positive implicative; obstinate; involution); filter; MV-filter; G-filter;
D O I：
10.4418/2015.70.1.6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Residuated lattices play an important role in the study of fuzzy logic. In the present paper, we introduce the notion of a normal filter in a residuated lattice and give some characterizations of them. We state and prove some theorems and exampels which determine the relationship between this notion and the other types of filters of a residuated lattice. Finally we investigate the relation between the set of dense elements and normal filters of a residuated lattice.
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收藏
页码：81 / 92
页数：12
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