Monadic BE-algebras

被引：6
|
作者：
Zaheriani, Seyed Yashar [1 ]
Zahiri, Omid [1 ]
机构：
[1] Shahid Beheshti Univ, Dept Math, GC, Tehran, Iran
来源：
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2014年 / 27卷 / 06期
关键词：
Monadic; BE-algebra; relatively complete subalgebra; congruence; m-filter;
D O I：
10.3233/IFS-141257
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
The aim of this paper is to introduce and investigate (bounded commutative) monadic BE-algebras. It's proved that for each m-relatively complete subalgebra of a bounded commutative monadic BE-algebra, we can defined a bounded commutative monadic BE-algebra, moreover, each bounded commutative monadic BE-algebra is of this form. Also, some results about filters and congruences on a bounded commutative monadic BE-algebra are stated and a relation between bounded commutative monadic BE-algebras and monadic bounded residuated lattices is obtained.
引用
收藏
页码：2987 / 2995
页数：9
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