Some results in hoop algebras

被引：25
|
作者：
Namdar, A. [1 ]
Borzooei, R. A. [2 ]
Saeid, A. Borumand [3 ]
Kologani, M. Aaly [2 ]
机构：
[1] Islamic Azad Univ, Kerman Branch, Dept Math, Kerman, Iran
[2] Shahid Beheshti Univ, Dept Math, Tehran, Iran
[3] Shahid Bahonar Univ Kerman, Fac Math & Comp, Dept Pure Math, Kerman, Iran
来源：
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2017年 / 32卷 / 03期
关键词：
Hoop algebra; (Obstinate) filter; (Quasi) local hoop;
D O I：
10.3233/JIFS-152553
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, we introduce the notion of obstinate filter in hoop algebras and study the relationship between this notion and other types of filters in hoops, we show that every obstinate filter is a fantastic and perfect filter and collect all of the relationships in a diagram. Finally, we define the notion of locally finite hoop and we show that if F is an obstinate filter, then A / F is a locally finite hoop.
引用
收藏
页码：1805 / 1813
页数：9
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