On Pseudo-Valuations on BCK-Algebras

被引：1
作者：
Mehrshad, S. [1 ]
Kouhestani, N. [2 ]
机构：
[1] Univ Zabol, Dept Math, Zabol, Iran
[2] Univ Sistan & Baluchestan, Dept Math, Zahedan, Iran
来源：
FILOMAT | 2018年 / 32卷 / 12期
关键词：
BCK-algebra; Pseudo-Valuation; Ideal; Quotient BCK-algebra;
D O I：
10.2298/FIL1812319M
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study some properties of pseudo-valuations and their induced quasi metrics. The continuity of operation of a BCK-algebra was studied with topology induced by a pseudo-valuation. Moreover, we show that product of finite number of this pseudo metric spaces is a pseudo metric space. Also, we prove that if a BCK-algebra X has a pseudo-valuation, then every quotient space of X has a pseudo metric. The completion of this spaces has been investigated in the present study.
引用
收藏
页码：4319 / 4332
页数：14
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