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Can I read Valuations on Tensor Powers of a Division Algebra on EtoBox?
Valuations on Tensor Powers of a Division Algebra by Patrick J. Morandi; B.A. Sethuraman is a Mathematics article available to read on EtoBox.
What is Valuations on Tensor Powers of a Division Algebra about?
We study the following question in this paper: If p is a prime, m a positive integer, and S = (s m , . . . , s 1 ) an arbitrary sequence consisting of "Y " or "N ," does there exist a division algebra of exponent p m over a valued field (F, v) such that the underlying division algebra of the tensor power D ⊗p i has a valuation extending v if and only if s m-i = Y ? We show that if such an algebra exists, then its index must be bounded below by a power of p that depends on both m and S, and we then answer the question affirmatively by constructing such an algebra of minimal index.
Who reads Valuations on Tensor Powers of a Division Algebra?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Patrick J. Morandi; B.A. Sethuraman
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0021-8693)
- Published
- 2005
- Language
- EN
- Field
- Mathematics (Physical Sciences)