Title of article :
Extended Upper Sets in BE-Algebras
Author/Authors :
Kim, Hee Sik Hanyang University - Department of Mathematics, Korea , Lee, Kyoung Ja Hannam University - Department of Mathematics Education, Korea
Abstract :
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.
Keywords :
BE , algebra , lter , upper set , Krull dimension , regular sequence
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
