Structural completeness and unification problem of the logic of Chang algebra (Q2811494)
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scientific article; zbMATH DE number 6592140
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Structural completeness and unification problem of the logic of Chang algebra |
scientific article; zbMATH DE number 6592140 |
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10 June 2016
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MV-algebra
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perfect MV-algebra
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Chang MV-algebra
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structural completeness
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Structural completeness and unification problem of the logic of Chang algebra (English)
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Baker and Beynon proved that a finitely generated lattice-ordered abelian group is finitely presented iff it is projective. Perfect MV-algebras do not form a variety, but are categorically equivalent to lattice-ordered abelian groups. Thus, for finitely generated perfect MV-algebras, being finitely presented is equivalent to being projective. It is also proved that the variety generated by perfect MV-algebras has unitary unification type, and its corresponding logic is structurally complete.
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