Geodesic
Extended Upper Sets in $BE$-Algebras
Bulletin of the Malaysian Mathematical Society, Tome 34 (2011) no. 3 Cet article a éte moissonné depuis la source Bulletin of the Malaysian Mathematical Society website

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As a generalization of a $BCK$-algebra, a $BE$-algebras was introduced. In this paper, we investigate several properties of upper sets in $BE$-algebras, and we introduce more extended upper sets of $BE$-algebras, and obtain some relations with filters of $BE$-algebras. Also, the notion of Krull dimension of a $BE$-algebra and the notion of regular sequence in a $BE$-algebra are introduced.
Classification : 03G25, 06B10, 06E10. 
@article{BMMS_2011_34_3_a8,
     author = {Hee Sik Kim and Kyoung Ja Lee},
     title = {Extended {Upper} {Sets} in $BE${-Algebras}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2011},
     volume = {34},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2011_34_3_a8/}
}
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AU  - Hee Sik Kim
AU  - Kyoung Ja Lee
TI  - Extended Upper Sets in $BE$-Algebras
JO  - Bulletin of the Malaysian Mathematical Society
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VL  - 34
IS  - 3
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%0 Journal Article
%A Hee Sik Kim
%A Kyoung Ja Lee
%T Extended Upper Sets in $BE$-Algebras
%J Bulletin of the Malaysian Mathematical Society
%D 2011
%V 34
%N 3
%U http://geodesic.mathdoc.fr/item/BMMS_2011_34_3_a8/
%F BMMS_2011_34_3_a8
Hee Sik Kim; Kyoung Ja Lee. Extended Upper Sets in $BE$-Algebras. Bulletin of the Malaysian Mathematical Society, Tome 34 (2011) no. 3. http://geodesic.mathdoc.fr/item/BMMS_2011_34_3_a8/