Tense Operators on BL-algebras and Their Applications
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...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Lodz University Press
2021-09-01
|
| Series: | Bulletin of the Section of Logic |
| Subjects: | |
| Online Access: | https://czasopisma.uni.lodz.pl/bulletin/article/view/5962 |
| _version_ | 1828146989003440128 |
|---|---|
| author | Akbar Paad |
| author_facet | Akbar Paad |
| author_sort | Akbar Paad |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-11T20:54:58Z |
| format | Article |
| id | doaj.art-b5d45b6095534a07b3b353428ff2bfe6 |
| institution | Directory Open Access Journal |
| issn | 0138-0680 2449-836X |
| language | English |
| last_indexed | 2024-04-11T20:54:58Z |
| publishDate | 2021-09-01 |
| publisher | Lodz University Press |
| record_format | Article |
| series | Bulletin of the Section of Logic |
| spelling | doaj.art-b5d45b6095534a07b3b353428ff2bfe62022-12-22T04:03:44ZengLodz University PressBulletin of the Section of Logic0138-06802449-836X2021-09-0150329932410.18778/0138-0680.2021.115108Tense Operators on BL-algebras and Their ApplicationsAkbar Paad0https://orcid.org/0000-0003-0929-9830University of Bojnord, Department of MathematicsIn 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.https://czasopisma.uni.lodz.pl/bulletin/article/view/5962(simple) tense bl-algebratense operatorstense filtertense congruence |
| spellingShingle | Akbar Paad Tense Operators on BL-algebras and Their Applications Bulletin of the Section of Logic (simple) tense bl-algebra tense operators tense filter tense congruence |
| title | Tense Operators on BL-algebras and Their Applications |
| title_full | Tense Operators on BL-algebras and Their Applications |
| title_fullStr | Tense Operators on BL-algebras and Their Applications |
| title_full_unstemmed | Tense Operators on BL-algebras and Their Applications |
| title_short | Tense Operators on BL-algebras and Their Applications |
| title_sort | tense operators on bl algebras and their applications |
| topic | (simple) tense bl-algebra tense operators tense filter tense congruence |
| url | https://czasopisma.uni.lodz.pl/bulletin/article/view/5962 |
| work_keys_str_mv | AT akbarpaad tenseoperatorsonblalgebrasandtheirapplications |