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http://dx.doi.org/10.4134/BKMS.2009.46.2.281

ON GENERALIZED UPPER SETS IN BE-ALGEBRAS  

Ahn, Sun-Shin (DEPARTMENT OF MATHEMATICS EDUCATION DONGGUK UNIVERSITY)
So, Keum-Sook (DEPARTMENT OF MATHEMATICS HALLYM UNIVERSITY)
Publication Information
Bulletin of the Korean Mathematical Society / v.46, no.2, 2009 , pp. 281-287 More about this Journal
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.
Keywords
BE-algebra; ideal; (generalized) upper set; self distributive;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
Times Cited By Web Of Science : 0  (Related Records In Web of Science)
Times Cited By SCOPUS : 9
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