On derivations of MV-algebras

分类： 物理学 >> 普通物理:统计和量子力学,量子信息等 提交时间： 2017-09-09

王军涛 Bijan Davvaz 贺鹏飞

摘要： In this paper, we investigate related properties of some particular derivations and give some characterizations of additive derivations in MV-algebras. Then, we obtainthat the #12;xed point set of additive derivations is still an MV-algebra. Also,we study Boolean additive derivations and their adjoint derivations. In particular, we get that the #12;xed point set of Boolean addition derivations and that of their adjoint derivations are isomorphism. Moreover, we prove that every MV-algebra is isomorphic to the direct product of the #12;xed point set of Boolean additive derivations and that of their adjoint derivations. Finally, we show that the structure of a Boolean algebra is completely determined by its set of all Boolean additive (implicative) derivations.

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