Derivations of MV-Algebras
We introduce the notion of derivation for an MV-algebra and discuss some related properties. Using the notion of an isotone derivation, we give some characterizations of a derivation of an MV-algebra. Moreover, we define an additive derivation of an MV-algebra and investigate some of its properties....
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2010/312027 |
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| _version_ | 1832563221574189056 |
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| author | N. O. Alshehri |
| author_facet | N. O. Alshehri |
| author_sort | N. O. Alshehri |
| collection | DOAJ |
| description | We introduce the notion of derivation for
an MV-algebra and discuss some related properties. Using the notion of an
isotone derivation, we give some characterizations of a derivation of an
MV-algebra. Moreover, we define an additive derivation of an MV-algebra and
investigate some of its properties. Also, we prove that an additive
derivation of a linearly ordered MV-algebral is an isotone. |
| format | Article |
| id | doaj-art-6d12cc2bfe024ac19de5fc8a1332f1f9 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-6d12cc2bfe024ac19de5fc8a1332f1f92025-02-03T01:20:39ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252010-01-01201010.1155/2010/312027312027Derivations of MV-AlgebrasN. O. Alshehri0Department of Mathematics, Faculty of Science (Girl's), King Abdulaziz University, P.O. Box 126238, Jeddah 21352, Saudi ArabiaWe introduce the notion of derivation for an MV-algebra and discuss some related properties. Using the notion of an isotone derivation, we give some characterizations of a derivation of an MV-algebra. Moreover, we define an additive derivation of an MV-algebra and investigate some of its properties. Also, we prove that an additive derivation of a linearly ordered MV-algebral is an isotone.http://dx.doi.org/10.1155/2010/312027 |
| spellingShingle | N. O. Alshehri Derivations of MV-Algebras International Journal of Mathematics and Mathematical Sciences |
| title | Derivations of MV-Algebras |
| title_full | Derivations of MV-Algebras |
| title_fullStr | Derivations of MV-Algebras |
| title_full_unstemmed | Derivations of MV-Algebras |
| title_short | Derivations of MV-Algebras |
| title_sort | derivations of mv algebras |
| url | http://dx.doi.org/10.1155/2010/312027 |
| work_keys_str_mv | AT noalshehri derivationsofmvalgebras |