Two notions of MV-algebraic semisimplicity relative to fixed MV-chains

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Journal of Applied Non-Classical Logics 32 (2-3):187-199 (2022)
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Abstract

We initiate a study of two general concepts of semisimplicity for MV-algebras by replacing the standard MV-algebra with an arbitrary MV-chain. These generalised notions are called -semisimple MV-algebras and -semisimple MV-algebras. We obtain several of their characterisations and explore in more-depth the case of perfect MV-chains.

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10.1080/11663081.2022.2123674

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