On derivations of MV-algebras

Jun Tao Wang; Bijan Davvaz; Peng Fei He

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arXiv · 1709.04814

On derivations of MV-algebras

Jun Tao Wang·Bijan Davvaz·Peng Fei He

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Abstract

In this paper, we investigate related properties of some particular derivations and give some characterizations of additive derivations in MV-algebras. Then, we obtain that the fixed 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 fixed point set of boolean addition derivations and that of their adjoint derivations are isomorphism. Moreover, we prove that every MV-algebras are isomorphic to the direct product of the fixed point set of boolean additive derivations and that of their adjoint derivations. Finally, 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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BibTeX RIS

Jun Tao Wang, Bijan Davvaz, Peng Fei He. 2017-09-14. On derivations of MV-algebras. https://arxiv.org/abs/1709.04814

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