f-DERIVATIONS AND (f; g)-DERIVATIONS OF MV -ALGEBRAS
Recently, the algebraic theory of MV -algebras is intensively studied. In this paper, we extend the concept of derivation of $MV$-algebras and we give someillustrative examples. Moreover, as a generalization of derivations of $MV$ -algebraswe introduce the notion of $f$-derivations and $(f; g)$-deri...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Shahrood University of Technology
2013-09-01
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| Series: | Journal of Algebraic Systems |
| Subjects: | |
| Online Access: | http://jas.shahroodut.ac.ir/article_167_3a68dccc76e6f69f9a0255ccc7a9453a.pdf |
| _version_ | 1811324448569032704 |
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| author | L. Kamali Ardakani Bijan Davvaz |
| author_facet | L. Kamali Ardakani Bijan Davvaz |
| author_sort | L. Kamali Ardakani |
| collection | DOAJ |
| description | Recently, the algebraic theory of MV -algebras is intensively studied. In this paper, we extend the concept of derivation of $MV$-algebras and we give someillustrative examples. Moreover, as a generalization of derivations of $MV$ -algebraswe introduce the notion of $f$-derivations and $(f; g)$-derivations of $MV$-algebras.Also, we investigate some properties of them. |
| first_indexed | 2024-04-13T14:14:28Z |
| format | Article |
| id | doaj.art-ab41e16a252749b4bc42cc108e0078ea |
| institution | Directory Open Access Journal |
| issn | 2345-5128 2345-511X |
| language | English |
| last_indexed | 2024-04-13T14:14:28Z |
| publishDate | 2013-09-01 |
| publisher | Shahrood University of Technology |
| record_format | Article |
| series | Journal of Algebraic Systems |
| spelling | doaj.art-ab41e16a252749b4bc42cc108e0078ea2022-12-22T02:43:42ZengShahrood University of TechnologyJournal of Algebraic Systems2345-51282345-511X2013-09-0111113110.22044/jas.2013.167167f-DERIVATIONS AND (f; g)-DERIVATIONS OF MV -ALGEBRASL. Kamali Ardakani0Bijan Davvaz1Yazd UniversityYazd UniversityRecently, the algebraic theory of MV -algebras is intensively studied. In this paper, we extend the concept of derivation of $MV$-algebras and we give someillustrative examples. Moreover, as a generalization of derivations of $MV$ -algebraswe introduce the notion of $f$-derivations and $(f; g)$-derivations of $MV$-algebras.Also, we investigate some properties of them.http://jas.shahroodut.ac.ir/article_167_3a68dccc76e6f69f9a0255ccc7a9453a.pdfMV -algebralatticeBCIBCK-algebraderivation |
| spellingShingle | L. Kamali Ardakani Bijan Davvaz f-DERIVATIONS AND (f; g)-DERIVATIONS OF MV -ALGEBRAS Journal of Algebraic Systems MV -algebra lattice BCIBCK-algebra derivation |
| title | f-DERIVATIONS AND (f; g)-DERIVATIONS OF MV -ALGEBRAS |
| title_full | f-DERIVATIONS AND (f; g)-DERIVATIONS OF MV -ALGEBRAS |
| title_fullStr | f-DERIVATIONS AND (f; g)-DERIVATIONS OF MV -ALGEBRAS |
| title_full_unstemmed | f-DERIVATIONS AND (f; g)-DERIVATIONS OF MV -ALGEBRAS |
| title_short | f-DERIVATIONS AND (f; g)-DERIVATIONS OF MV -ALGEBRAS |
| title_sort | f derivations and f g derivations of mv algebras |
| topic | MV -algebra lattice BCIBCK-algebra derivation |
| url | http://jas.shahroodut.ac.ir/article_167_3a68dccc76e6f69f9a0255ccc7a9453a.pdf |
| work_keys_str_mv | AT lkamaliardakani fderivationsandfgderivationsofmvalgebras AT bijandavvaz fderivationsandfgderivationsofmvalgebras |