Multipliers in weak Heyting algebras
In this paper, we introduce the notion of multipliers in weak Heyting algebras and investigate some related properties of them. We obtain the relations between multipliers, closure operators, and homomorphisms in weak Heyting algebras. Relations among image sets and fixed point sets of multipliers i...
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| Format: | Article |
| Language: | English |
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Shahid Bahonar University of Kerman
2024-12-01
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| Series: | Journal of Mahani Mathematical Research |
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| Online Access: | https://jmmrc.uk.ac.ir/article_4182_b2b0a3dbc853c80e284684d99a6d5a52.pdf |
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| _version_ | 1841560185106071552 |
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| author | Shokoofeh Ghorbani |
| author_facet | Shokoofeh Ghorbani |
| author_sort | Shokoofeh Ghorbani |
| collection | DOAJ |
| description | In this paper, we introduce the notion of multipliers in weak Heyting algebras and investigate some related properties of them. We obtain the relations between multipliers, closure operators, and homomorphisms in weak Heyting algebras. Relations among image sets and fixed point sets of multipliers in weak Heyting algebras are investigated. Also, we study algebraic structures of the set of all multipliers in weak Heyting algebras. Using multipliers, the left and right m-stabilizers in weak Heyting algebras are introduced, and some related properties are given. Also, we obtain conditionssuch that the left and right m-stabilizers form two weak Heyting algebras. |
| format | Article |
| id | doaj-art-5aa59f73955a4dd6a6a44274453e880b |
| institution | Kabale University |
| issn | 2251-7952 2645-4505 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Shahid Bahonar University of Kerman |
| record_format | Article |
| series | Journal of Mahani Mathematical Research |
| spelling | doaj-art-5aa59f73955a4dd6a6a44274453e880b2025-01-04T19:29:49ZengShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-79522645-45052024-12-01134536610.22103/jmmr.2024.22758.15634182Multipliers in weak Heyting algebrasShokoofeh Ghorbani0Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, IranIn this paper, we introduce the notion of multipliers in weak Heyting algebras and investigate some related properties of them. We obtain the relations between multipliers, closure operators, and homomorphisms in weak Heyting algebras. Relations among image sets and fixed point sets of multipliers in weak Heyting algebras are investigated. Also, we study algebraic structures of the set of all multipliers in weak Heyting algebras. Using multipliers, the left and right m-stabilizers in weak Heyting algebras are introduced, and some related properties are given. Also, we obtain conditionssuch that the left and right m-stabilizers form two weak Heyting algebras.https://jmmrc.uk.ac.ir/article_4182_b2b0a3dbc853c80e284684d99a6d5a52.pdfweak heyting algebramultiplierm-stabilizerfix pointclosure operators |
| spellingShingle | Shokoofeh Ghorbani Multipliers in weak Heyting algebras Journal of Mahani Mathematical Research weak heyting algebra multiplier m-stabilizer fix point closure operators |
| title | Multipliers in weak Heyting algebras |
| title_full | Multipliers in weak Heyting algebras |
| title_fullStr | Multipliers in weak Heyting algebras |
| title_full_unstemmed | Multipliers in weak Heyting algebras |
| title_short | Multipliers in weak Heyting algebras |
| title_sort | multipliers in weak heyting algebras |
| topic | weak heyting algebra multiplier m-stabilizer fix point closure operators |
| url | https://jmmrc.uk.ac.ir/article_4182_b2b0a3dbc853c80e284684d99a6d5a52.pdf |
| work_keys_str_mv | AT shokoofehghorbani multipliersinweakheytingalgebras |