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- W2018607731 abstract "Let F be a field and let V be a valuation ring in F. If A is a central simple F-algebra then V can be extended to a Dubrovin valuation ring in A. In this paper we consider the structure of Dubrovin valuation rings with center V in crossed product algebras (K/F, G, f) where K/F is a finite Galois extension with Galois group G unramified over V and f is a normalized two-cocycle. In the case where V is indecomposed in K we introduce a family of orders naturally associated to f, examine their basic properties, and determine which of these orders is Dubrovin. In the case where V is decomposed we determine the structure in the case of certain special discrete, finite rank valuations" @default.
- W2018607731 created "2016-06-24" @default.
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- W2018607731 date "1993-02-01" @default.
- W2018607731 modified "2023-09-25" @default.
- W2018607731 title "On Dubrovin valuation rings in crossed product algebras" @default.
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- W2018607731 doi "https://doi.org/10.1090/s0002-9947-1993-1104201-x" @default.
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