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

@article{c56103fc98fe48b2a9f9896a38ac8373,

title = "Pseudo-valuations on bch-algebras with respect to subalgebras and (closed) ideals",

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.",

keywords = "(Positive) valuation, CI-pseudo-valuation, I-pseudo-valuation, Pseudo-metric induced by pseudo-valuation, S-pseudo-valuation",

author = "Jun, {Young Bae} and Ahn, {Sun Shin}",

year = "2016",

language = "English",

volume = "20",

pages = "1341--1351",

journal = "Journal of Computational Analysis and Applications",

issn = "1521-1398",

publisher = "Eudoxus Press, LLC",

number = "7",

}

TY - JOUR

T1 - Pseudo-valuations on bch-algebras with respect to subalgebras and (closed) ideals

AU - Jun, Young Bae

AU - Ahn, Sun Shin

PY - 2016

Y1 - 2016

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 - http://www.scopus.com/inward/record.url?scp=85014525031&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85014525031

SN - 1521-1398

VL - 20

SP - 1341

EP - 1351

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

Other files and links

Fingerprint

Cite this