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Tensor products of MV-algebras


 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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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).

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