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
From page
511
To page
520
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
Record number
2549936
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