Linear extensions of orders invariant under abelian group actions. (Q2925537)
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scientific article; zbMATH DE number 6356988
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Linear extensions of orders invariant under abelian group actions. |
scientific article; zbMATH DE number 6356988 |
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16 October 2014
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linear orders
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extensions of orders
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Abelian group actions
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linear preorders
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0.89686596
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0.8914818
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Linear extensions of orders invariant under abelian group actions. (English)
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The paper concerns the question which properties of a partial order can be preserved in its linear extension. The author deals with the question when a group \(G\) acts on a partially ordered set \(X\) and the order is \(G\)-invariant. In the paper, this question is answered for \(G\) abelian. Moreover, further questions concerning extensions of partial orders are discussed here.
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