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A Generalization of Jarník's Theorem on Diophantine Approximations to Ridout Type Numbers

✍ Scribed by I. Borosh and A. S. Fraenkel


Book ID
125682669
Publisher
American Mathematical Society
Year
1975
Tongue
English
Weight
343 KB
Volume
211
Category
Article
ISSN
0002-9947

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A generalization of Brauer's theorem on
✍ Janez Bernik 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 84 KB

Let F be either an algebraic number field or a p-adic field and A a central simple algebra over F . Suppose A is spanned by a multiplicative semigroup Γ ⊂ A with the property that the minimal polynomial of every g ∈ Γ splits over F . Then A represents the trivial class in the Brauer group of F .