Algebra

   

Smarandache Weak BE-Algebras

Authors: Arsham Borumand Saeid

In this paper, we introduce the notions of Smarandache weak BE-algebra, Q-Smarandache filters and Q-Smarandache ideals. We show that a nonempty subset F of a BE-algebra X is a Q-Smarandache filter if and only if A(x, y) is included in or equal to F, which A(x, y) is a Q-Smarandache upper set. The relationship between these notions are stated and proved.

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[v1] 2012-08-07 13:16:43

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