Unitizing a generalized pseudo effect algebra. (Q2351717)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Unitizing a generalized pseudo effect algebra. |
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Unitizing a generalized pseudo effect algebra. (English)
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26 June 2015
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It is known that every generalized effect algebra can be embedded as a maximal proper ideal in an effect algebra called its unitization. Here this result is extended to the non-commutative case of \textit{pseudo effect algebras}. Necessary and sufficient conditions are found for a generalized pseudo effect algebra to admit a unitization. A pseudo effect algebra can be obtained by a unitization iff it admits a two-valued state.
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pseudo effect algebras
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generalized effect algebras
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unitizations
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unitizing automorphisms
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two-valued states
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