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In this book, we introduce the notions of implicative ideal with respect to an element of a BH-algebra in ordinary and fuzzy senses. We state and prove some theorems which determine the relationships among these notions and other ideals of a BH-algebra in ordinary and fuzzy senses and by some examples. We show that these notions are different. Also, we consider some properties of implicative ideal of a BH-algebra in ordinary and fuzzy senses and link them with these new notions.

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A Prof. Husein Hadi Abbass is the Dean Assistant post for Scientific Affairs in the Faculty of Computer Science and Mathematics university of Kufa - Iraq. He obtained master´s degree in applied mathematics from the Technology University in Iraq in 1995. He has publications in Algebra, MV-algebra,Image Processing ,Algebraic Statistics,Fuzzy maths

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