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Semi maximal filter in Hilbert algebra
- Source :
- Journal of Intelligent & Fuzzy Systems. 30:7-15
- Publication Year :
- 2015
- Publisher :
- IOS Press, 2015.
-
Abstract
- 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.
Details
- ISSN :
- 18758967 and 10641246
- Volume :
- 30
- Database :
- OpenAIRE
- Journal :
- Journal of Intelligent & Fuzzy Systems
- Accession number :
- edsair.doi...........08e1c5d158200b2972ebe327cbdb5d50