A new generalization of BE-algebras

被引：5
|
作者：
Yiarayong, Pairote [1 ]
Wachirawongsakorn, Piyada [2 ]
机构：
[1] Pibulsongkram Rajabhat Univ, Fac Sci & Technol, Dept Math, Phitsanulok 65000, Thailand
[2] Pibulsongkram Rajabhat Univ, Fac Sci & Technol, Phitsanulok 65000, Thailand
来源：
HELIYON | 2018年 / 4卷 / 10期
关键词：
Mathematics;
D O I：
10.1016/j.heliyon.2018.e00863
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper we introduce the notion of PSRU-algebras as a generalization of BE-algebras, we investigate its elementary properties. The aim of this paper is to investigate the concept of filters, left ideals (right ideal, ideal) and fuzzy filters in PSRU-algebras. Moreover, we investigate relationships between left ideals and filters in PSRU-algebras. Furthermore, we characterize filters in terms of fuzzy filters. It is shown that if I be a left ideal of a PSRU-algebra X, then I-x is a left ideal of X for all x epsilon X.
引用
收藏
页数：17
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