Minimal prime state filters and state radicals on state pseudo BL-algebras

被引：0
作者：
Constantinescu, N. M. [1 ]
机构：
[1] Univ Craiova, Dept Math, AI I Cuza St 13, Craiova 200585, Romania
来源：
SOFT COMPUTING | 2016年 / 20卷 / 03期
关键词：
Pseudo BL-algebra; BL-Algebra; State operator; State filter; Minimal prime state filter; State hyperarchimedean pseudo BL-algebra; State radical; OPERATORS;
D O I：
10.1007/s00500-015-1824-0
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 the study of some classes of state filters of a state pseudo BL-algebra. The concepts of minimal prime state filter and of state hyperarchimedean pseudo BL-algebra are introduced and a characterization of a state hyperarchimedean pseudo BL-algebra is presented. Also, we define the notion of a state radical of a state filter of a state pseudo BL-algebra, we present a characterization of a state radical and some of its properties. The algebra of state radicals of a state pseudo BL-algebra is studied.
引用
收藏
页码：841 / 851
页数：11
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