Pseudocomplemented lattice effect algebras and existence of states (Q1010123)
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scientific article; zbMATH DE number 5539788
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Pseudocomplemented lattice effect algebras and existence of states |
scientific article; zbMATH DE number 5539788 |
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Pseudocomplemented lattice effect algebras and existence of states (English)
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3 April 2009
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The author studies pseudocomplemented lattice effect algebras. In particular, it is shown that the set of sharp elements in a pseudocomplemented lattice effect algebra forms a Boolean algebra (with the inherited pseudocomplementation as an orthocomplementation) and that every pseudocomplemented complete atomic lattice effect algebra admits a state.
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lattice effect algebra
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atom
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sharp element
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pseudocomplement
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state
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