Lee classes for pseudocomplemented semilattices, revisited (Q535101)
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scientific article; zbMATH DE number 5886742
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lee classes for pseudocomplemented semilattices, revisited |
scientific article; zbMATH DE number 5886742 |
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Lee classes for pseudocomplemented semilattices, revisited (English)
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11 May 2011
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The \(n\)-th Lee class is the quasivariety (actually a variety) generated by the pseudocomplemented distributive lattice obtained from the Boolean algebra \(B_n\) with \(n\) atoms by adjoining a new greatest element \(1\notin B_n\). It may be also considered as a (proper) quasivariety of pseudocomplemented semilattices. The main result of the paper under review (Theorem 1.1) asserts that each Lee class may be axiomatized by a single quasi-identity that, syntactically and semantically, has a simple description.
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pseudocomplemented semilattice
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pseudocomplemented distributive lattice
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Lee class
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