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Tensor products of MV-algebras

Soft Computing volume 7, pages 446–457 (2003)Cite this article

Abstract

 The structure of MV-module over a PMV-algebra was defined in [5]. In this paper we test this notion in the important problem of scalar extension. The tensor product ⊗ mv defined in [11] is generalized and another tensor product, ⊗ o , is studied in relation with the corresponding tensor product of ℓ-groups [9]. Using tensor products we get the free MV-modules over a totally ordered PMV-algebra.

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Authors and Affiliations

  1. Computer Science Department, Politehnica University, Splaiul Independentei 313, Bucharest, Romania E-mail: pflondor@yahoo.co.uk, , , , , , RO

    P. Flondor

  2. Faculty of Mathematics, University of Bucharest, Str. Academiei 14, 70700 Bucharest, Romania E-mail: ioana@funinf.cs.unibuc.ro, , , , , , RO

    I. Leustean

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  1. P. Flondor
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  2. I. Leustean
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Dedicated to Prof. Ján Jakubíik on the occasion of his 80th birthday

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Flondor, P., Leustean, I. Tensor products of MV-algebras. Soft Computing 7, 446–457 (2003). https://doi.org/10.1007/s00500-003-0279-x

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  • DOI: https://doi.org/10.1007/s00500-003-0279-x

  • Keywords Tensor product, Free MV-modules, Interval MV-algebra