Prescribed behavior of central simple algebras after scalar extension
نویسندگان
چکیده
منابع مشابه
Prescribed Behavior of Central Simple Algebras after Scalar Extension
1. Let A1, . . . ,An be central simple disjoint algebras over a field F . Let also li|exp(Ai), mi|ind(Ai), li|mi, and for each i = 1, . . . , n, let li and mi have the same sets of prime divisors. Then there exists a field extension E/F such that exp(AiE) = li and ind(AiE) = mi, i = 1, . . . , n. 2. Let A be a central simple algebra over a field K with an involution τ of the second kind. We pro...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2012
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2011.11.027