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Bulletin of the Korean Mathematical Society
Article . 2005 . Peer-reviewed
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Article . 2005
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https://dx.doi.org/10.4134/bkm...
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UNIFORM TOPOLOGY ON DIFFERENCE ALGEBRAS

Uniform topology on difference algebras
descriptionPublicationkeyboard_double_arrow_right Article 01 May 2005 English Publisher:The Korean Mathematical SocietyJournal:Bulletin of the Korean Mathematical Society, volume 42, pages 379-386 (issn: 1015-8634, Copyright policy )
Authors: Borumand Saeid, Arsham;

doi: 10.4134/bkms.2005.42.2.379

UNIFORM TOPOLOGY ON DIFFERENCE ALGEBRAS

Abstract

Summary: We consider a collection of ideals of a difference algebra \(X\). We use the concept of congruence relation with respect to ideals to construct a uniformity that induces a topology on \(X\) which makes this to a topological difference algebras. We study the properties of this topology regarding different ideals.

Keywords

BCK-algebras, BCI-algebras, topological difference algebras, ideals, Uniform structures and generalizations, Connections of general topology with other structures, applications, congruence relation, uniformity

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
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