STATE HOOPS

被引:7
作者
Borzooei, Rajab Ali [1 ]
Kologani, Mona Aaly [2 ]
Zahiri, Omid [3 ]
机构
[1] Shahid Beheshti Univ, Dept Math, Tehran, Iran
[2] Payamnour Univ, Dept Math, Tehran, Iran
[3] Univ Appl Sci & Technol, Tehran, Iran
关键词
Hoop algebra; state U-hoop; state hoop; state-morphism; PSEUDO-HOOPS; MV-ALGEBRAS; FUZZY STRUCTURES; INTERNAL STATES; OPERATORS;
D O I
10.1515/ms-2016-0242
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we define the notions of a state U-hoop and a state-morphism U-hoop extending the language of hoop by adding a unary operator and investigate some properties of them. Also, we extend state U-hoop to state hoop and study the relation between state hoops and state BL-algebras, MV-algebras and BCK-algebras. (C) 2017 Mathematical Institute Slovak Academy of Sciences
引用
收藏
页码:1 / 16
页数:16
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