Generalized Sasaki projections and Riesz ideals in pseudoeffect algebras (Q1413769)
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scientific article; zbMATH DE number 2005345
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalized Sasaki projections and Riesz ideals in pseudoeffect algebras |
scientific article; zbMATH DE number 2005345 |
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Generalized Sasaki projections and Riesz ideals in pseudoeffect algebras (English)
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17 November 2003
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The author introduces left and right generalized Sasaki projections in pseudoeffect algebras and uses this notion to characterize Riesz ideals. In lattice ordered pseudoeffect algebras it is shown that generalized Sasaki projections are one-element sets and that the supremum of a normal Riesz ideal (if it exists) is a central element.
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pseudoeffect algebra
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generalized Sasaki projection
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Riesz ideal
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central element
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