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The study of SU-Algebra was initiated by Supawadee Keawrahun and Utsanee Leerawat. This paper introduces the notion of Bifuzzy SU-subalgebra and deals with some of their basic but interesting properties related to the Cartesian product and Homomorphism by applying the idea of a Bifuzzy subset.fatcat:h2ffdopv45f7rl7hrffj5zkygi