Pseudo-valuations on BCH-algebras with respect to subalgebras and (closed) ideals

被引：0
|
作者：
Jun, Young Bae [1 ]
Ahn, Sun Shin [2 ]
机构：
[1] Gyeongsang Natl Univ, Dept Math Educ, Jinju 660701, South Korea
[2] Dongguk Univ, Dept Math Educ, Seoul 100715, South Korea
来源：
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2016年 / 20卷 / 07期
关键词：
S-pseudo-valuation; I-pseudo-valuation; CI-pseudo-valuation; (Positive) valuation; Pseudo-metric induced by pseudo-valuation;
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
The notion of pseudo-valuations (valuations) on a BCH-algebra is introduced by using the Busneag's model ([1, 2, 3]), and a pseudo-metric is induced by a pseudo-valuation on BCH-algebras. Conditions for a real-valued function to be an I-pseudo-valuation are provided. The fact that the binary operation in BCH-algebras is uniformly continuous is provided based on the notion of (pseudo) valuation.
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页码：1341 / 1351
页数：11
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