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Pseudo-valuations on BCH-algebras with respect to subalgebras and (closed) ideals
- Authors
- Jun, Young Bae; Ahn, Sun Shin
- Issue Date
- 15-Jun-2016
- Publisher
- EUDOXUS PRESS, LLC
- Keywords
- S-pseudo-valuation; I-pseudo-valuation; CI-pseudo-valuation; (Positive) valuation; Pseudo-metric induced by pseudo-valuation
- Citation
- JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, v.20, no.7, pp 1341 - 1351
- Pages
- 11
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
- Volume
- 20
- Number
- 7
- Start Page
- 1341
- End Page
- 1351
- ISSN
- 1521-1398
1572-9206
- Abstract
- 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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Collections - College of Education > Department of Mathematics Education > 1. Journal Articles
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Related Researcher
- Ahn, Sun Shin
- College of Education (Department of Mathematics Education)