Dans cet article nous introduisons un nouvel invariant pour les extensions de corps aux différences, le degré distant, et discutons ses propriétés.
In this paper we introduce a new invariant for extensions of difference fields, the distant degree, and discuss its properties.
@article{AFST_2012_6_21_2_217_0,
author = {Chatzidakis, Zo\'e and Hrushovski, Ehud},
title = {An invariant for difference field extensions},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
pages = {217--234},
publisher = {Universit\'e Paul Sabatier, Institut de math\'ematiques},
address = {Toulouse},
volume = {Ser. 6, 21},
number = {2},
year = {2012},
doi = {10.5802/afst.1334},
zbl = {1250.12005},
mrnumber = {2978095},
language = {en},
url = {http://www.numdam.org/articles/10.5802/afst.1334/}
}
TY - JOUR AU - Chatzidakis, Zoé AU - Hrushovski, Ehud TI - An invariant for difference field extensions JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 2012 SP - 217 EP - 234 VL - 21 IS - 2 PB - Université Paul Sabatier, Institut de mathématiques PP - Toulouse UR - http://www.numdam.org/articles/10.5802/afst.1334/ DO - 10.5802/afst.1334 LA - en ID - AFST_2012_6_21_2_217_0 ER -
%0 Journal Article %A Chatzidakis, Zoé %A Hrushovski, Ehud %T An invariant for difference field extensions %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 2012 %P 217-234 %V 21 %N 2 %I Université Paul Sabatier, Institut de mathématiques %C Toulouse %U http://www.numdam.org/articles/10.5802/afst.1334/ %R 10.5802/afst.1334 %G en %F AFST_2012_6_21_2_217_0
Chatzidakis, Zoé; Hrushovski, Ehud. An invariant for difference field extensions. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 21 (2012) no. 2, pp. 217-234. doi : 10.5802/afst.1334. http://www.numdam.org/articles/10.5802/afst.1334/
[1] Cohn (R.M.).— Difference algebra, Tracts in Mathematics 17, Interscience Pub. (1965). | MR | Zbl
[2] Ivanov (A.A.).— The problem of finite axiomatizability for strongly minimal theories of graphs (Russian), Algebra i Logika 28 (1989), no. 3, p. 280-297, 366; translation in Algebra and Logic 28 (1989), no. 3, p. 183-194 (1990). | MR | Zbl
[3] Möller (R.G.).— Structure theory of totally disconnected locally compact groups via graphs and permutations, Canad. J. Math. 54, no. 4, p. 795-827 (2002). | MR
[4] Pillay (A.).— Geometric stability theory, Oxford Science Publications, Oxford. Univ. Press, New York (1996). | MR | Zbl
[5] Willis (G.).— The structure of totally disconnected locally compact groups, Math. Ann. 300, p. 341-363 (1994). | MR | Zbl
[6] Willis (G.).— Further properties of the scale function on a totally disconnected group, J. of Algebra 237, p. 142-164 (2001). | MR
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