Maximal subfields of algebraically closed fields
1980 ◽
Vol 29
(4)
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pp. 462-468
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Keyword(s):
AbstractLet K be an algebraically closed field of characteristic zero, and S a nonempty subset of K such that S Q = Ø and card S < card K, where Q is the field of rational numbers. By Zorn's Lemma, there exist subfields F of K which are maximal with respect to the property of being disjoint from S. This paper examines such subfields and investigates the Galois group Gal K/F along with the lattice of intermediate subfields.
2004 ◽
Vol 77
(1)
◽
pp. 123-128
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2017 ◽
Vol 2019
(6)
◽
pp. 1863-1893
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2010 ◽
Vol 7
(1)
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pp. 55-89
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2018 ◽
Vol 71
(4)
◽
pp. 819-842
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1981 ◽
Vol 31
(2)
◽
pp. 136-141
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Keyword(s):
1959 ◽
Vol 14
◽
pp. 223-234
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Keyword(s):
1985 ◽
Vol 38
(3)
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pp. 330-350
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1968 ◽
Vol 9
(2)
◽
pp. 146-151
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