Isomorphism theorems on generalized effect algebras based on atoms (Q1010122)
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scientific article; zbMATH DE number 5539787
| Language | Label | Description | Also known as |
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| English | Isomorphism theorems on generalized effect algebras based on atoms |
scientific article; zbMATH DE number 5539787 |
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Isomorphism theorems on generalized effect algebras based on atoms (English)
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3 April 2009
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Effect algebras, or equivalently D-posets, are bounded partial algebras that serve as a model of quantum mechanical theory, mainly based on Hilbert space formalism. An unbounded generalized effect algebra can be embedded into a bounded one as a proper ideal. The authors show that two non-isomorphic generalized effect algebras can be embedded into isomorphic effect algebras. Some interesting results concerning Archimedean atomic effect algebras and isomorphisms are proved.
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nonclassical logics
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D-posets
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effect algebras
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MV-algebras
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states
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probabilities on quantum structures
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