Hilbertianity of fields of power series
2011 ◽
Vol 11
(2)
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pp. 351-361
Keyword(s):
AbstractLetRbe a domain contained in a rank-1 valuation ring of its quotient field. LetR⟦X⟧ be the ring of formal power series overR, and letFbe the quotient field ofR⟦X⟧. We prove thatFis Hilbertian. This resolves and generalizes an open problem of Jarden, and allows to generalize previous Galois-theoretic results over fields of power series.
2002 ◽
Vol 30
(12)
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pp. 761-770
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Keyword(s):
2003 ◽
Vol 184
(2)
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pp. 369-383
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Keyword(s):
2004 ◽
Vol 339
(8)
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pp. 533-538
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2002 ◽
Vol 51
(3)
◽
pp. 403-410
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2017 ◽
Vol 2018
(15)
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pp. 4780-4798
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Keyword(s):