Semi maximal filter in Hilbert algebra
Ali Soleimani Nasab, Arsham Borumand Saeid · Journal of Intelligent & Fuzzy Systems · 2015
In this paper, the radical of an implicative filter in Hilbert algebras is studied and some theorems are given on its properties and we show that radical form a closure operator. Also, the radical of the set of all regular elements is characterized. Finally, the notion of semi maximal filter is introduced as a closed set of that closure operator and studied it in detail.