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

Young Bae Jun; Sun Shin Ahn

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

Young Bae Jun
, Sun Shin Ahn

Department of Mathematics Education

Gyeongsang National University

Research output: Contribution to journal › Article › peer-review

Abstract

The notion of pseudo-valuations (valuations) on a BCH-algebra is introduced by using the Buşneag’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.

Original language	English
Pages (from-to)	1341-1351
Number of pages	11
Journal	Journal of Computational Analysis and Applications
Volume	20
Issue number	7
State	Published - 2016

Keywords

(Positive) valuation
CI-pseudo-valuation
I-pseudo-valuation
Pseudo-metric induced by pseudo-valuation
S-pseudo-valuation

Cite this

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abstract = "The notion of pseudo-valuations (valuations) on a BCH-algebra is introduced by using the Bu{\c s}neag{\textquoteright}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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N2 - The notion of pseudo-valuations (valuations) on a BCH-algebra is introduced by using the Buşneag’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.

AB - The notion of pseudo-valuations (valuations) on a BCH-algebra is introduced by using the Buşneag’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.

KW - (Positive) valuation

KW - CI-pseudo-valuation

KW - I-pseudo-valuation

KW - Pseudo-metric induced by pseudo-valuation

KW - S-pseudo-valuation

UR - https://www.scopus.com/pages/publications/85014525031

M3 - Article

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SN - 1521-1398

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JO - Journal of Computational Analysis and Applications

JF - Journal of Computational Analysis and Applications

IS - 7

ER -

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

Abstract

Keywords

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