الخلاصة

In this paper, The notion of a Smarandache filter of a Smarandache BH-Algebra is introduced, some theorems and examples are investigated and discussed to explain properties of this notion. A necessary and sufficient condition is derived for every Smarandache filter of a Smarandache BH-Algebra to become a filter. Finally, the relationships between this notion and Smarandache ideal are established