Abstract
In this note first we define the notions of left (right) hyper stabilizers of
types 1 and 2 of a nonempty subset of a hyper K-algebra. Also we define the notions
of left (right) normal elements of types 1 and 2 of a hyper K-algebra and left (right)
normal hyper K-algebras of types 1 and 2. Then we give many examples to show that
these notions are different together. Finally we prove some theorems and obtain some
related results . In particular we determine the relationships between the proper hyper
K-ideals of a left (right) normal hyper K-algebra of types 1 and 2 and the positive
implicative hyper K-ideals of types 2, 3, 5, 6, 7, 8, 10, 12, 14, 15, 16, 17, 19, 21, 23,
24, 25 and 26 of a hyper K-algebra of order 3, which satisfies the simple condition.
Finally we define some closure operators induced by stabilizers.
