On RM-algebras with an additional condition
In this paper, we apply a new condition to RM-algebras. We obtain some relations among this condition with another axioms in some algebras of logic and some examples are given to illustrate them. %It is proved We prove that the relation derived from this new algebra is a partial ordering. It is prov...
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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_4000_7d5d84d1958fcb7d587cdea6f6206c77.pdf |
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| author | Akbar Rezaei |
| author_facet | Akbar Rezaei |
| author_sort | Akbar Rezaei |
| collection | DOAJ |
| description | In this paper, we apply a new condition to RM-algebras. We obtain some relations among this condition with another axioms in some algebras of logic and some examples are given to illustrate them. %It is proved We prove that the relation derived from this new algebra is a partial ordering. It is proved that RM-algebras with condition (I) are abelian group. Also, we present that the BI-algebras, BCK-algebras, L-algebras, KL-algebras CL-algebras and BE-algebras satisfying (I) are trivial. |
| format | Article |
| id | doaj-art-968b8e9bfa2e4f1cba6495c36d046dcf |
| 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-968b8e9bfa2e4f1cba6495c36d046dcf2025-01-04T19:29:49ZengShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-79522645-45052024-12-01134273810.22103/jmmr.2023.22243.15174000On RM-algebras with an additional conditionAkbar Rezaei0Department of Mathematics, Payame Noor University, Tehran, IranIn this paper, we apply a new condition to RM-algebras. We obtain some relations among this condition with another axioms in some algebras of logic and some examples are given to illustrate them. %It is proved We prove that the relation derived from this new algebra is a partial ordering. It is proved that RM-algebras with condition (I) are abelian group. Also, we present that the BI-algebras, BCK-algebras, L-algebras, KL-algebras CL-algebras and BE-algebras satisfying (I) are trivial.https://jmmrc.uk.ac.ir/article_4000_7d5d84d1958fcb7d587cdea6f6206c77.pdfgroupoidrm-algebrabe-algebrabi-algebral-algebra |
| spellingShingle | Akbar Rezaei On RM-algebras with an additional condition Journal of Mahani Mathematical Research groupoid rm-algebra be-algebra bi-algebra l-algebra |
| title | On RM-algebras with an additional condition |
| title_full | On RM-algebras with an additional condition |
| title_fullStr | On RM-algebras with an additional condition |
| title_full_unstemmed | On RM-algebras with an additional condition |
| title_short | On RM-algebras with an additional condition |
| title_sort | on rm algebras with an additional condition |
| topic | groupoid rm-algebra be-algebra bi-algebra l-algebra |
| url | https://jmmrc.uk.ac.ir/article_4000_7d5d84d1958fcb7d587cdea6f6206c77.pdf |
| work_keys_str_mv | AT akbarrezaei onrmalgebraswithanadditionalcondition |