Involutive t-norms from non-simple MV-chains

Stefano Aguzzoli, Anna Rita Ferraioli, Brunella Gerla · 2017

We give a [0, l]-functional representation of the finitely generated free algebras in the variety generated by Chain's MV-algebra Sω2, and in the variety generated by the left continuous t-norm arising as Jenei's rotation JII of the product t-norm. We generalise the construction of JII from Sω2by building a family Tnof involutive t-norm algebras such that the MV-algebras in the variety generated by Tnform the variety generated by Sωnand LN+1.

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