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: |
Hindawi Limited
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 |
| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |