Tense Operators on BL-algebras and Their Applications
| dc.contributor.author | Paad, Akbar | |
| dc.date.accessioned | 2021-11-05T10:31:57Z | |
| dc.date.available | 2021-11-05T10:31:57Z | |
| dc.date.issued | 2021-05-28 | |
| dc.identifier.issn | 0138-0680 | |
| dc.identifier.uri | http://hdl.handle.net/11089/39685 | |
| dc.description.abstract | In this paper, the notions of tense operators and tense filters in \(BL\)-algebras are introduced and several characterizations of them are obtained. Also, the relation among tense \(BL\)-algebras, tense \(MV\)-algebras and tense Boolean algebras are investigated. Moreover, it is shown that the set of all tense filters of a \(BL\)-algebra is complete sublattice of \(F(L)\) of all filters of \(BL\)-algebra \(L\). Also, maximal tense filters and simple tense \(BL\)-algebras and the relation between them are studied. Finally, the notions of tense congruence relations in tense \(BL\)-algebras and strict tense \(BL\)-algebras are introduced and an one-to-one correspondence between tense filters and tense congruences relations induced by tense filters are provided. | en |
| dc.language.iso | en | |
| dc.publisher | Wydawnictwo Uniwersytetu Łódzkiego | pl |
| dc.relation.ispartofseries | Bulletin of the Section of Logic;3 | en |
| dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0 | |
| dc.subject | (simple) tense BL-algebra | en |
| dc.subject | tense operators | en |
| dc.subject | tense filter | en |
| dc.subject | tense congruence | en |
| dc.title | Tense Operators on BL-algebras and Their Applications | en |
| dc.type | Other | |
| dc.page.number | 299-324 | |
| dc.contributor.authorAffiliation | University of Bojnord, Department of Mathematics | en |
| dc.identifier.eissn | 2449-836X | |
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| dc.contributor.authorEmail | akbar.paad@gmail.com | |
| dc.identifier.doi | 10.18778/0138-0680.2021.11 | |
| dc.relation.volume | 50 |
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