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An EMV-algebra resembles an MV-algebra in which a top element is not guaranteed. For
-algebras, we prove an analogue of the Loomis–Sikorski theorem showing that every
-algebra is a
-homomorphic image of an
-tribe of fuzzy sets where all algebraic operations are defined by points. To prove it, some topological properties of the state-morphism space and the space of maximal ideals are established.
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