Note on lattice-ordered rings with positive squares (Q2854028)
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scientific article; zbMATH DE number 6215986
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Note on lattice-ordered rings with positive squares |
scientific article; zbMATH DE number 6215986 |
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17 October 2013
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lattice-ordered ring
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division-closed
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positive square
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0.9168732
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0.9071236
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0.89215416
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0.8892093
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0.8798533
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Note on lattice-ordered rings with positive squares (English)
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The authors construct an example to explain the difference between order-isomorphisms and lattice-isomorphisms. They show that in lattice-ordered rings the two kinds of isomorphisms coincide. Another result consists of proving that a lattice-ordered ring is a totally ordered division ring if and only if the set of its strictly positive elements is a group under the multiplication.
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