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SMARANDACHE WEAK BE-ALGEBRAS

  • Saeid, Arsham Borumand
    • Communications of the Korean Mathematical Society
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    • v.27 no.3
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    • pp.489-496
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    • 2012
  • 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 $A(x,y){\subseteq}F$, which A($x,y$) is a Q-Smarandache upper set The relationship between these notions are stated and proved.