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Implication in MV-algebras

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Abstract.

We set up an axiomatic system for the logical connective implication within the framework of MV-algebras which generalizes implication in classical logic described similarly by J. C. Abbott. The induced structure (weak implication algebra) turns to be a join-semilattice whose principal filters are MV-algebras.

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Authors and Affiliations

  1. Department of Algebra and Geometry, Palacký University Olomouc, Tomkova 40, 77900, Olomouc, Czech Republic

    I. Chajda, R. Halaš & J. Kühr

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  1. I. Chajda
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  2. R. Halaš
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  3. J. Kühr
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Correspondence to I. Chajda.

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Received October 2, 2003; accepted in final form March 17, 2004.

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Chajda, I., Halaš, R. & Kühr, J. Implication in MV-algebras. Algebra univers. 52, 377–382 (2005). https://doi.org/10.1007/s00012-004-1862-4

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  • DOI: https://doi.org/10.1007/s00012-004-1862-4

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