The connection of hyper lattice implication algebras and related hyper algebras
In this paper, we de ne the concepts of (good) con- gruences and strong congruences on hyper lattice implication alge- bras and use them to construct quotient hyper lattice implication algebras. We describe the relations between hyper lattice implica- tion algebra and hyper MV-algebra, hyper K-algeb...
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| Format: | Article |
| Language: | English |
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University of Mohaghegh Ardabili
2016-12-01
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| Series: | Journal of Hyperstructures |
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| Online Access: | https://jhs.uma.ac.ir/article_2674_8b67957d7b8cf82aa288135a2505c6ae.pdf |
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| _version_ | 1849427739088519168 |
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| author | Shokoofeh Ghorbani |
| author_facet | Shokoofeh Ghorbani |
| author_sort | Shokoofeh Ghorbani |
| collection | DOAJ |
| description | In this paper, we de ne the concepts of (good) con- gruences and strong congruences on hyper lattice implication alge- bras and use them to construct quotient hyper lattice implication algebras. We describe the relations between hyper lattice implica- tion algebra and hyper MV-algebra, hyper K-algebra, (weak) hyper residuated lattices. |
| format | Article |
| id | doaj-art-6f1618ca0ae44b8fa31b1ccbd42b1c7b |
| institution | Kabale University |
| issn | 2251-8436 2322-1666 |
| language | English |
| publishDate | 2016-12-01 |
| publisher | University of Mohaghegh Ardabili |
| record_format | Article |
| series | Journal of Hyperstructures |
| spelling | doaj-art-6f1618ca0ae44b8fa31b1ccbd42b1c7b2025-08-20T03:28:55ZengUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-84362322-16662016-12-015212414010.22098/jhs.2016.26742674The connection of hyper lattice implication algebras and related hyper algebrasShokoofeh Ghorbani0Shahid Bahonar University of KermanIn this paper, we de ne the concepts of (good) con- gruences and strong congruences on hyper lattice implication alge- bras and use them to construct quotient hyper lattice implication algebras. We describe the relations between hyper lattice implica- tion algebra and hyper MV-algebra, hyper K-algebra, (weak) hyper residuated lattices.https://jhs.uma.ac.ir/article_2674_8b67957d7b8cf82aa288135a2505c6ae.pdf(quotient) hyper lattice implication algebracongruencehyper mv-algebra(weak) hyper residuated lattice |
| spellingShingle | Shokoofeh Ghorbani The connection of hyper lattice implication algebras and related hyper algebras Journal of Hyperstructures (quotient) hyper lattice implication algebra congruence hyper mv-algebra (weak) hyper residuated lattice |
| title | The connection of hyper lattice implication algebras and related hyper algebras |
| title_full | The connection of hyper lattice implication algebras and related hyper algebras |
| title_fullStr | The connection of hyper lattice implication algebras and related hyper algebras |
| title_full_unstemmed | The connection of hyper lattice implication algebras and related hyper algebras |
| title_short | The connection of hyper lattice implication algebras and related hyper algebras |
| title_sort | connection of hyper lattice implication algebras and related hyper algebras |
| topic | (quotient) hyper lattice implication algebra congruence hyper mv-algebra (weak) hyper residuated lattice |
| url | https://jhs.uma.ac.ir/article_2674_8b67957d7b8cf82aa288135a2505c6ae.pdf |
| work_keys_str_mv | AT shokoofehghorbani theconnectionofhyperlatticeimplicationalgebrasandrelatedhyperalgebras AT shokoofehghorbani connectionofhyperlatticeimplicationalgebrasandrelatedhyperalgebras |