We give a [0, l]-functional representation of the finitely generated free algebras in the variety generated by Chain's MV-algebra Sω 2, 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 Sω 2 by building a family Tn of involutive t-norm algebras such that the MV-algebras in the variety generated by Tn form the variety generated by Sω n and LN+1.
Involutive t-norms from non-simple MV-chains.
GERLA, BRUNELLA
2017-01-01
Abstract
We give a [0, l]-functional representation of the finitely generated free algebras in the variety generated by Chain's MV-algebra Sω 2, 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 Sω 2 by building a family Tn of involutive t-norm algebras such that the MV-algebras in the variety generated by Tn form the variety generated by Sω n and LN+1.
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