Structure of ordered semirings (Q1089419)
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scientific article; zbMATH DE number 4004418
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Structure of ordered semirings |
scientific article; zbMATH DE number 4004418 |
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Structure of ordered semirings (English)
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1987
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We study the properties of totally ordered semirings in which the multiplicative structure is positively totally ordered in a strict sense. The additive and multiplicative order-Archimedean properties play an important role in determining the structures. This enables us to attempt representation theorems and to establish some general structure theorems and properties.
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totally ordered semirings
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multiplicative structure
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positively totally ordered
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order-Archimedean
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