Ascents and descents of semistar operations and localizing systems. II (Q2883282)
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scientific article; zbMATH DE number 6033804
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Ascents and descents of semistar operations and localizing systems. II |
scientific article; zbMATH DE number 6033804 |
Statements
11 May 2012
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semistar operation
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localizing system
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integral domain
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g-monoid
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Ascents and descents of semistar operations and localizing systems. II (English)
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Let \(D\) be an integral domain, for any extension domain \(T\) of \(D\), the concepts of ascents and descents of semistar operations and localizing systems were introduced by the author in the first part [Int. Electron. J. Algebra 7, 152--160 (2010; Zbl 1209.13011)], and their basic properties were also given. In this paper, he gives a large number of counterexamples to show many relations of these basic properties of semistar operations and localizing systems are strict.
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