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1. chinaXiv:201709.00007 [pdf]

On derivations of MV-algebras

王军涛; Bijan Davvaz; 贺鹏飞
分类: 物理学 >> 普通物理:统计和量子力学,量子信息等

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.

提交时间: 2017-09-09 点击量294, 下载量72

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