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Generalization of Splitting off Operation to Binary Matroids

โœ Scribed by M.M. Shikare Ghodratollaha Azadi; B.N. Waphare

Book ID
108498063
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
172 KB
Volume
15
Category
Article
ISSN
1571-0653

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โœ Janez Bernik ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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 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 .