Representable semilattice-ordered monoids (Q2474106)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Representable semilattice-ordered monoids |
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Representable semilattice-ordered monoids (English)
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5 March 2008
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The authors study two related signatures very close to the border of finite axiomatisability. They are ordered monoids and semilattice-ordered monoids, and their signatures are \(\{\leq ,1^{\prime },;\}\) and \(\{\cdot ,1^{\prime },;\}\) respectively. The main result of this paper is that the representation class \(R(\{\cdot ,1^{\prime },;\})\) is not finitely axiomatisable.
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algebraic logic
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representation
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non-finite axiomatisability
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semilattice
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ordered monoid
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reduct
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