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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

Integral Dubrovin valuation rings


Authors: Patrick J. Morandi and Adrian R. Wadsworth
Journal: Trans. Amer. Math. Soc. 315 (1989), 623-640
MSC: Primary 16W60; Secondary 16K20, 16S35
MathSciNet review: 986696
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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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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1989-0986696-4
PII: S 0002-9947(1989)0986696-4
Article copyright: © Copyright 1989 American Mathematical Society