Some results in hoop algebras

Abstract

In this paper, we introduce the notion of obstinate filter in hoop algebras and study the relationship between this notion and other types of filters in hoops, we show that every obstinate filter is a fantastic and perfect filter and collect all of the relationships in a diagram. Finally, we define the notion of locally finite hoop and we show that if F is an obstinate filter, then A / F is a locally finite hoop.