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Separable extension
An algebraic extension E\supseteq F is a purely inseparable extension if and only if for every \alpha\in E\setminus ...
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is a purely inseparable extension if the algebraic number minimal polynomial of any element has only one root, possibly with multiplicity. SEE ALSO: Field, Field ...
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An algebraic field extension $K/F$ is purely inseparable if each element of $K$ is ... Purely inseparable extensions have the following property: if $K/F$ is purely ...
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To develop a Galois theory for purely inseparable extensions we use higher .... arable. We call the extension L purely inseparable over K if each α ∈ L is purely ...
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Separable Extensions, Purely Inseparable. Purely Inseparable. Let u be algebraic over the base field K, such that u is a root of the irreducible polynomial q(x).
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called the exponent of x over C. F is a purely inseparable extension of C ... paper a generalization of Baer's results to purely inseparable extensions having any ...
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Let K be a purely inseparable extension of a field k of char- acteristic p ? 0. ... These state that any purely inseparable field extension has a unique minimal ...
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Mar 13, 2011 ... Let $F\subset K$ be an algebraic field extension. Is the set of all elements of $K$ that are purely inseparable over $F$ necessarily a subfield of ...
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Correction to: ``Special generating sets of purely inseparable extension fields of unbounded exponent''. Pacific Journal of Mathematics volume 176, issue 2, ...
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Feb 21, 2010 ... Let $K/k$ be a finite normal extension. Then $K$ can be obtained by a purely inseparable extension, followed by a separable extension.
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