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www.askkids.com/resource/Galois-Theory.html
[Fundamental Theorem of Galois Theory] Let F be the splitting field of a separable polynomial over the field K, and let G = Gal(F/K).
www.askkids.com/resource/What-Is-the-Galois-Theory.html
[Fundamental Theorem of Galois Theory] Let F be the splitting field of a separable polynomial over the field K, and let G = Gal(F/K).
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Separable extension - Wikipedia, the free encyclopedia
en.wikipedia.org/wiki/Separable_extension
Tensor product of fields.) Then F is said to be separable over k if the following ...
Separable polynomial - Wikipedia, the free encyclopedia
en.wikipedia.org/wiki/Separable_polynomial
Separable polynomials are used to define separable extensions: A field extension K \subset L is a separable ...
Separable algebra - Wikipedia, the free encyclopedia
en.wikipedia.org/wiki/Separable_algebra
It is a generalization to associative algebras of the notion of a separable field ... An associative K-algebra A is said to be separable if for every field extension ...
mathworld.wolfram.com/GaloisExtensionField.html
When K is a finite extension, then only one separable polynomial is necessary. 2. The field automorphisms of K that fix F do not fix any intermediate fields E ...
www.math.uconn.edu/~kconrad/blurbs/galoistheory/separab... www.math.uconn.edu/~kconrad/blurbs/galoistheory/separable1.pdf
prove the primitive element theorem, an important result about separable field extensions. 2. Separable Polynomials. Although the definition of a separable ...
ncatlab.org/nlab/show/separable+field+extension
Jul 18, 2010 ... A polynomial P over a field K is separable if all its irreducible factors ... An extension K ⊂ L of fields is separable if every element x ∈ L is a root ...
www.jstor.org/stable/2038936
SPLITTING FIELDS AND SEPARABILITY. MARK RAMRAS1. ABSTRACT. It is a classical result that if (R, 9'J) is a complete discrete valuation ring with quotient ...
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