Effect algebraic extensions of generalized effect algebras and two-valued states (Q835112)
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scientific article; zbMATH DE number 5599389
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Effect algebraic extensions of generalized effect algebras and two-valued states |
scientific article; zbMATH DE number 5599389 |
Statements
Effect algebraic extensions of generalized effect algebras and two-valued states (English)
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28 August 2009
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The existence of a two-valued state on a lattice effect algebra is analyzed. Sufficient and necessary conditions for the existence of a such state are given in the following cases: (1) Archimedean atomic lattice effect algebras; (2) Archimedean atomic distributive lattice effect algebras; (3) (o)-continuous Archimedean atomic effect algebras. Moreover, two-valued states on generalized effect subalgebras of effect algebras and their relation to ordered ideals are studied.
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effect algebras
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MV-algebras
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states and probabilities on quantum structures
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