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Normalization of MV-algebras. (English) Zbl 1112.06012
Summary: We consider algebras determined by all normal identities of MV-algebras, i.e., algebras of many-valued logics. For such algebras, we present a representation based on a normalization of a sectionally involutioned lattice, i.e., a \(q\)-lattice, and another one based on a normalization of a lattice-ordered group.
MSC:
06D35 MV-algebras
06F20 Ordered abelian groups, Riesz groups, ordered linear spaces
08B20 Free algebras
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