On generalized upper sets in BE-algebras

Sun Shin Ahn; Keum Sook So

doi:10.4134/BKMS.2009.46.2.281

On generalized upper sets in BE-algebras

Sun Shin Ahn
, Keum Sook So

Department of Mathematics Education

Hallym University

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

39 Scopus citations

Abstract

In this paper, we develop the idea of a generalized upper set in a BE-algebra. Furthermore, these sets are considered in the context of transitive and self distributive BE-algebras and their ideals, providing characterizations of one type, the generalized upper sets, in terms of the other type, ideals.

Original language	English
Pages (from-to)	281-287
Number of pages	7
Journal	Bulletin of the Korean Mathematical Society
Volume	46
Issue number	2
DOIs	https://doi.org/10.4134/BKMS.2009.46.2.281
State	Published - Mar 2009

Keywords

(Generalized) upper set
BE-algebra
Ideal
Self distributive

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10.4134/BKMS.2009.46.2.281

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AB - In this paper, we develop the idea of a generalized upper set in a BE-algebra. Furthermore, these sets are considered in the context of transitive and self distributive BE-algebras and their ideals, providing characterizations of one type, the generalized upper sets, in terms of the other type, ideals.

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On generalized upper sets in BE-algebras

Abstract

Keywords

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