A topology on arithmetical lattice-ordered groups (Q1078219)
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scientific article; zbMATH DE number 3959507
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A topology on arithmetical lattice-ordered groups |
scientific article; zbMATH DE number 3959507 |
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A topology on arithmetical lattice-ordered groups (English)
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1986
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A lattice ordered group G is called arithmetical, if it is a conditionally complete lattice and the free group generated by the set P of all prime elements in the cone (integral part) of G. There is described the weakest topology on an arithmetical lattice-ordered group for which a given lattice-ideal is open and presented some corollaries, of proved theorems, for some of ring topologies, field topologies and p- adic topologies.
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conditionally complete lattice
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prime elements
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arithmetical lattice- ordered group
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ring topologies
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field topologies
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p-adic topologies
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0.94338477
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0.93567485
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0.9140046
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0.91372246
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0.9106469
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