Title of article :
A note on UP-hyperalgebras
Author/Authors :
Iampan, A Department of Mathematics - School of Science - University of Phayao, Phayao 56000, Thailand , Satirad, A Department of Mathematics - School of Science - University of Phayao, Phayao 56000, Thailand , Songsaeng, M Department of Mathematics - School of Science - University of Phayao, Phayao 56000, Thailand
Abstract :
We introduce the concept of UP-hyperalgebras which
is a generalization of UP-algebras, and investigate some
related properties. Moreover, we introduce the con-
cepts of UP-hypersubalgebras, UP-hyperideals of types
1 and 2, and s-UP-hyperideals of types 1 and 2 in UP-
hyperalgebras and give some relations among these con-
cepts. We try to show that these concepts are indepen-
dent by some examples. Furthermore, the closed condi-
tion and the R-condition of a nonempty subset are dis-
cussed.
Keywords :
s-UP- hyperideal of types 1 and 2 , UP-hyperideal of types 1 and 2 , UP-hyper subalgebra , UP-hyperalgebra
Journal title :
Journal of Algebraic Hyperstructures and Logical Algebras
