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A generalization of Bochner-Weil’s theorem and Stone’s theorem on foundation semigroups

✍ Scribed by M. Lashkarizadeh Bami


Publisher
Springer
Year
2004
Tongue
English
Weight
107 KB
Volume
83
Category
Article
ISSN
0003-889X

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📜 SIMILAR VOLUMES


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 .