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A generalization of the rees theorem to a class of regular semigroups

โœ Scribed by Dennis Allen

Book ID
110559721
Publisher
Springer
Year
1971
Tongue
English
Weight
637 KB
Volume
2
Category
Article
ISSN
0037-1912

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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 ฮ“ โŠ‚ A with the property that the minimal polynomial of every g โˆˆ ฮ“ splits over F . Then A represents the trivial class in the Brauer group of F .