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.
Iampan, A., Satirad, A., Songsaeng, M. (2020). A note on UP-hyperalgebras. Journal of Algebraic Hyperstructures and Logical Algebras, 1(2), 77-95. doi: 10.29252/hatef.jahla.1.2.7
MLA
Aiyared Iampan; Akarachai Satirad; Metawee Songsaeng. "A note on UP-hyperalgebras". Journal of Algebraic Hyperstructures and Logical Algebras, 1, 2, 2020, 77-95. doi: 10.29252/hatef.jahla.1.2.7
HARVARD
Iampan, A., Satirad, A., Songsaeng, M. (2020). 'A note on UP-hyperalgebras', Journal of Algebraic Hyperstructures and Logical Algebras, 1(2), pp. 77-95. doi: 10.29252/hatef.jahla.1.2.7
VANCOUVER
Iampan, A., Satirad, A., Songsaeng, M. A note on UP-hyperalgebras. Journal of Algebraic Hyperstructures and Logical Algebras, 2020; 1(2): 77-95. doi: 10.29252/hatef.jahla.1.2.7
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