An extension theorem and a new construction of Dickson near-fields (Q1820852)
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scientific article; zbMATH DE number 3995918
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An extension theorem and a new construction of Dickson near-fields |
scientific article; zbMATH DE number 3995918 |
Statements
An extension theorem and a new construction of Dickson near-fields (English)
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1986
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The extension theorem is: If R is a ring with injective endomorphism \(\tau\), then there exists a ring \(E_{\tau}(R)\), which contains a subring R' isomorphic to R, and an automorphism \({\hat \tau}\) of \(E_{\tau}(R)\) which when restricted to R' coincides with the endomorphism of R' induced by \(\tau\). This idea is used to construct Dickson near-fields of Ore fractions.
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extension
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endomorphism
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automorphism
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Dickson near-fields
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Ore fractions
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0.7329075932502747
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0.7285794019699097
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