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Some Computations over Successive Algebraic Extension Fields
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Fuzzy algebraic field extensions
Fuzzy Sets and Systems, 1992The concept of fuzzy algebraic field extensions is introduced. Conditions are determined for which a fuzzy algebraic field extension has unique maximal fuzzy intermediate fields which are fuzzy separable algebraic and fuzzy purely inseparable. The fuzzification of other basic properties of field extensions is examined.
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2017
Recall that a field extension \(\mathbb{k} \subset \mathbb{F}\) is said to be finite of degree d if \(\mathbb{F}\) has dimension d < ∞ as a vector space over \(\mathbb{k}\). We write \(\deg \mathbb{F}/\mathbb{k} = d\) in this case.
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Recall that a field extension \(\mathbb{k} \subset \mathbb{F}\) is said to be finite of degree d if \(\mathbb{F}\) has dimension d < ∞ as a vector space over \(\mathbb{k}\). We write \(\deg \mathbb{F}/\mathbb{k} = d\) in this case.
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Hilbertian fields under separable algebraic extensions
Inventiones Mathematicae, 1999Through an investigation of M. Fried's proof of Weissauer's Theorem [see \textit{M. Fried} and \textit{M. Jarden}, Field Arithmetic, Springer (1986; Zbl 0625.12001)], the author develops a group theoretical argument that enables him to exhibit a quite general sufficient condition for an algebraic separable extension \(M\) of an hilbertian field \(K ...
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Algebraic extensions of finite corank of hilbertian fields
Israel Journal of Mathematics, 1974We consider here a hilbertian fieldk and its Galois group (k s/k). For a natural numbere we prove that almost all (σ) ∈ (ks/k)e have the following properties.
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Algebraic Extensions of Fields.
The American Mathematical Monthly, 1968Neil Grabois, Paul J. McCarthy
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment
Ca-A Cancer Journal for Clinicians, 2022Jun J Mao,, Msce +2 more
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Radiotheranostics in oncology: Making precision medicine possible
Ca-A Cancer Journal for Clinicians, 2023Eric Aboagye
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