Some results in hoop algebras
- 24 February 2017
- journal article
- Published by SAGE Publications in Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
- Vol. 32 (3) , 1805-1813
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.Keywords
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