Topological properties in BCC-algebras

Sun Shin Ahn; Seok Hwan Kwon

doi:10.4134/CKMS.2008.23.2.169

Topological properties in BCC-algebras

Sun Shin Ahn, Seok Hwan Kwon

Department of Mathematics Education

Dongguk University

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

8 Scopus citations

Abstract

In this paper, we show how to associate certain topologies with special ideals of BCC-algebras on these BCC-algebras. We show that it is natural for BCC-algebras to be topological BCC-algebras with respect to theses topologies. Furthermore, we show how certain standard properties may arise. In addition we demonstrate that it is natural for these topologies to have many clopen sets and thus to be highly connected via the ideal theory of BCC-algebras.

Original language	English
Pages (from-to)	169-178
Number of pages	10
Journal	Communications of the Korean Mathematical Society
Volume	23
Issue number	2
DOIs	https://doi.org/10.4134/CKMS.2008.23.2.169
State	Published - 2008

Keywords

(BCC-)ideal
BCC-algebra
Topological BCC-algebras
Uniformity

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10.4134/CKMS.2008.23.2.169

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AB - In this paper, we show how to associate certain topologies with special ideals of BCC-algebras on these BCC-algebras. We show that it is natural for BCC-algebras to be topological BCC-algebras with respect to theses topologies. Furthermore, we show how certain standard properties may arise. In addition we demonstrate that it is natural for these topologies to have many clopen sets and thus to be highly connected via the ideal theory of BCC-algebras.

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KW - Uniformity

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Topological properties in BCC-algebras

Abstract

Keywords

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