TY - JOUR
T1 - Θ-Hilbertianity and strong Θ-Hilbertianity
AU - Fried, Sela
AU - Haran, Dan
N1 - Publisher Copyright:
© 2023, The Hebrew University of Jerusalem.
PY - 2023/11
Y1 - 2023/11
N2 - Θ-Hilbertianity and its strengthening, strong Θ-Hilbertianity, are two generalizations of Hilbertianity inspired by Jarden’s definition of p-Hilbertianity and strong p-Hilbertianity. Jarden has asked whether the two notions defined by him are actually the same. We address this question in its more general version of Θ-Hilbertianity and show that for PRC, and, in particular, for PAC fields, p-Hilbertianity and strong p-Hilbertianity coincide.
AB - Θ-Hilbertianity and its strengthening, strong Θ-Hilbertianity, are two generalizations of Hilbertianity inspired by Jarden’s definition of p-Hilbertianity and strong p-Hilbertianity. Jarden has asked whether the two notions defined by him are actually the same. We address this question in its more general version of Θ-Hilbertianity and show that for PRC, and, in particular, for PAC fields, p-Hilbertianity and strong p-Hilbertianity coincide.
UR - http://www.scopus.com/inward/record.url?scp=85180472878&partnerID=8YFLogxK
U2 - 10.1007/s11856-023-2528-2
DO - 10.1007/s11856-023-2528-2
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AN - SCOPUS:85180472878
SN - 0021-2172
VL - 257
SP - 263
EP - 280
JO - Israel Journal of Mathematics
JF - Israel Journal of Mathematics
IS - 1
ER -