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.
Disclosure statement
No potential conflict of interest was reported by the author(s).
Acknowledgment
The second author is grateful to UHD for the Funded Faculty Leave during which a portion of the paper was completed.