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Smarandache strong hoop-algebras. (English) Zbl 1469.06017

Summary: In this paper we define the \(Q\)-Smarandache hoop-algebras and \(Q\)-Smarandache filters, we obtain some related results. After that, by considering the notions of these filters we determine relationships between filters in hoop-algebras and \(Q\)-Smarandache filters in hoop-algebras. Finally, we introduce the concept of Smarandache 2-structure and Smarandache 2-filter on hoop-algebras.

MSC:

06D35 MV-algebras
06F05 Ordered semigroups and monoids
03G25 Other algebras related to logic
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