BCC-algebras with pseudo-valuations

Young Bae Jun; Sun Shin Ahn; Eun Hwan Roh

doi:10.2298/fil1202243j

BCC-algebras with pseudo-valuations

Young Bae Jun
, Sun Shin Ahn
, Eun Hwan Roh

Department of Mathematics Education

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

3 Scopus citations

Abstract

The notion of pseudo-valuations (valuations) on a BCC-algebra is introduced by using the Bus ̧neag's model ([1-3]), and a pseudo-metric is induced by a pseudo-valuation on BCC-algebras. Conditions for a real-valued function to be an BCK-pseudo-valuation are provided. The fact that the binary operation in BCC-algebras is uniformly continuous is provided based on the notion of (pseudo) valuation.

Original language	English
Pages (from-to)	37-46
Number of pages	10
Journal	Filomat
Volume	26
Issue number	2
DOIs	https://doi.org/10.2298/fil1202243j
State	Published - Apr 2012

Keywords

(BCK, BCC, strong BCC)-pseudo-valuation
BCK/BCC-valuation
Pseudo-metric induced by BCK-pseudo-valuation
Weak pseudo-valuation

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10.2298/fil1202243j

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abstract = "The notion of pseudo-valuations (valuations) on a BCC-algebra is introduced by using the Bus{\c }neag's model ([1-3]), and a pseudo-metric is induced by a pseudo-valuation on BCC-algebras. Conditions for a real-valued function to be an BCK-pseudo-valuation are provided. The fact that the binary operation in BCC-algebras is uniformly continuous is provided based on the notion of (pseudo) valuation.",

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AU - Ahn, Sun Shin

AU - Roh, Eun Hwan

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N2 - The notion of pseudo-valuations (valuations) on a BCC-algebra is introduced by using the Bus ̧neag's model ([1-3]), and a pseudo-metric is induced by a pseudo-valuation on BCC-algebras. Conditions for a real-valued function to be an BCK-pseudo-valuation are provided. The fact that the binary operation in BCC-algebras is uniformly continuous is provided based on the notion of (pseudo) valuation.

AB - The notion of pseudo-valuations (valuations) on a BCC-algebra is introduced by using the Bus ̧neag's model ([1-3]), and a pseudo-metric is induced by a pseudo-valuation on BCC-algebras. Conditions for a real-valued function to be an BCK-pseudo-valuation are provided. The fact that the binary operation in BCC-algebras is uniformly continuous is provided based on the notion of (pseudo) valuation.

KW - (BCK, BCC, strong BCC)-pseudo-valuation

KW - BCK/BCC-valuation

KW - Pseudo-metric induced by BCK-pseudo-valuation

KW - Weak pseudo-valuation

UR - https://www.scopus.com/pages/publications/80054796762

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VL - 26

SP - 37

EP - 46

JO - Filomat

JF - Filomat

IS - 2

ER -

BCC-algebras with pseudo-valuations

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Keywords

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