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Valuations on algebraic division algebras

Fallah Moghaddam, R ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1080/00927872.2017.1339065
  3. Abstract:
  4. Let D be a division algebra algebraic over its center F. Given a (Krull) valuation v on F, it is shown that v extends to a valuation on D if and only if for each separable element c∈D′ there exists a valuation w on K: = F(c) extending v on F such that (Formula presented.), where D′ is the derived group of D* and W* is the unit group of the valuation ring W of w. © 2017 Taylor & Francis
  5. Keywords:
  6. Division ring ; Field ; Uniqueness ; Valuation
  7. Source: Communications in Algebra ; 2017 , Pages 1-5 ; 00927872 (ISSN)
  8. URL: https://www.tandfonline.com/doi/abs/10.1080/00927872.2017.1339065?journalCode=lagb20