Trivializable rings of sets (Q1101567)
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scientific article; zbMATH DE number 4046060
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Trivializable rings of sets |
scientific article; zbMATH DE number 4046060 |
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Trivializable rings of sets (English)
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1986
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A ring of sets R is called linearizable iff it is generated by a totally ordered trivial \(\cap\)-semilattice S. The author has proved that every group-valued mapping on S can be uniquely extended to an additive mapping on R. It is shown that all totally ordered systems generating the same ring are essentially order isomorphic. This fact makes an order-theoretic classification possible.
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spaces of measures
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linearizable ring of sets
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trivializable ring of sets
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semilattice
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group-valued mapping
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order-theoretic classification
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0.8837983
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0.87585545
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0.87157065
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0.87118536
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0.86797756
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