STATE OPERATORS ON BOUNDED PSEUDO HOOPS

In this paper, we introduce the notion of state operators on a bounded pseudo hoop and study its properties. We prove that a state operator on a bounded pseudo hoop is onto if and only if it is identity map, and the only state operators on a linear bounded pseudo hoop is identity. Also, the relation between state operators, simple bounded pseudo hoop and subdirectly irreducible bounded pseudo hoop is studied. Finally, We show that there is a one to one correspondence between state normal filters and state congruence relations