Yousefi Kia, O. and Rezaei, A. and Borumand Saeid, A. (2015) On modal BE-algebras. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 31 (2). pp. 195-206. ISSN 0866-0174
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Abstract
In this paper, we introduce modal BE-algebra and study some structural properties of modal BE-algebra. The notions of modal upper set, modal BE-filter, BE-tautology filter, dual modal BE-algebra and quotient modal BE-algebraare introduced and their basic properties are investigated. We will prove that every self- distributive BE-algebra, induce a dual modal BE-algebra. Finally, we will prove that every dual modal BE-algebra is a modal BE-algebras under special conditions.
| Item Type: | Article |
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| Uncontrolled Keywords: | Self distributive, commutative, bounded, involutory, modal BE-algebra, modal (normal) BE-filter |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | Zsolt Baráth |
| Date Deposited: | 06 Feb 2024 11:04 |
| Last Modified: | 06 Feb 2024 11:28 |
| URI: | http://real.mtak.hu/id/eprint/187670 |
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