Test groups and effect algebras (Q1919232)
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scientific article; zbMATH DE number 912951
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Test groups and effect algebras |
scientific article; zbMATH DE number 912951 |
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Test groups and effect algebras (English)
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24 February 1997
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The notion of a test group as a pair \((G, T)\), where \(G\) is a partially ordered Abelian group and \(T\) is a generative antichain in its positive cone, is introduced. This notion is connected with representation of effect algebras and it has an intimate connection with D-test spaces introduced by the reviewer and \textit{S. Pulmannová} [Rep. Math. Phys. 34, 151-170 (1994; Zbl 0820.03038)]. In addition, some methods to calculate the algebraic closure, and some ideas about quotient effect algebras are presented.
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interval effect algebra
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universal group
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test group
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partially ordered Abelian group
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effect algebras
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D-test spaces
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algebraic closure
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quotients
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