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On the Density Property of P𝒮C Fields
Author(s) -
Razon Aharon
Publication year - 2002
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/1522-2616(200202)235:1<163::aid-mana163>3.0.co;2-#
Subject(s) - mathematics , property (philosophy) , pure mathematics , epistemology , philosophy
Let be a finite set of finite and real local primes of a field K . We prove two results. First, a PAC field over K is already PAC over each nonempty ‐open subset of K ; if K is global, this implies that it is also PAC over each separable Hilbert subset of K . Second, each PC field inside K tot, has the ‐density property.