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Article type: Research Article
Authors: Abbasloo, Mahdieh | Borumand Saeid, Arsham
Affiliations: Department of Mathematics, Science and Research Branch, Islamic Azad University, Kerman, Iran | Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran
Note: [] Corresponding author. Mahdieh Abbasloo, Department of Mathematics, Science and Research Branch, Islamic Azad University, Kerman, Iran. E-mail: [email protected]
Abstract: In this paper, we introduce the notions of coatom and comolecule of BL-algebras, also we state and prove some theorems which determines their properties. Finally we investigate some results in co-annihilators and verify the relationship between comolecules with prime filters, coatoms with hyperarchimedean and investigate $^{\perp}F$ for some types of filters.
Keywords: BL-algebra, filter, coatom, comolecule, archimedean, hyperarchimedean, co-annihilator
DOI: 10.3233/IFS-131002
Journal: Journal of Intelligent & Fuzzy Systems, vol. 27, no. 1, pp. 351-360, 2014
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