Integral Dubrovin valuation rings

Morandi, Patrick J.; Wadsworth, Adrian R.

doi:10.1090/S0002-9947-1989-0986696-4

Integral Dubrovin valuation rings
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by Patrick J. Morandi and Adrian R. Wadsworth

Trans. Amer. Math. Soc. 315 (1989), 623-640

DOI: https://doi.org/10.1090/S0002-9947-1989-0986696-4

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Abstract:

In the preceding paper, Dubrovin valuation rings integral over their centers in central simple algebras were characterized by value functions. Here, these value functions are used to give a method for extending integral Dubrovin valuation rings in generalized crossed product algebras. Several applications of this extension theorem are given, including new and more natural proofs of some theorems on valued division algebras over Henselian fields.

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