Document Type : Original Article
University of Phayao
We introduce the concept of UP-hyperalgebras which is a generalization of UP-algebras, and investigate some related properties. Moreover, we introduce the concepts of UP-hypersubalgebras, UP-hyperideals of types 1 and 2, and s-UP-hyperideals of types 1 and 2 in UPhyperalgebras and give some relations among these concepts. We try to show that these concepts are independent by some examples. Furthermore, the closed condition and the R-condition of a nonempty subset are discussed.