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.

引用

页码：1341 / 1351

页数：11

共 31 条

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