Title
The Theory of Modules of Separably Closed Fields 1
Abstract
Abstract In Dellunde et al. (J. Symbolic Logic 67(3) (2002) 997–1015), we determined the complete theory Te of modules of separably closed %elds of characteristic p and imperfection degree e, e ∈! ∪ {∞}. Here, for 0 �= e ∈!, we describe the closed set of the Ziegler spectrum corre- sponding to Te. Further, we establish a correspondence between certain submodules and n-types and we investigate several notions of dimensions and their relationships with the Lascar rank. Finally, we show that Te has uniform p.p. elimination of imaginaries and deduce uniform weak elimination of imaginaries. c � 2004 Elsevier B.V. All rights reserved. MSC: 03C60; 03C95; 16D10; 12L12; 16S36 Keywords: Separably closed %elds; Modules; Skew polynomial rings; Ziegler spectrum; Types; Dimensions
Year
Venue
DocType
2002
J. Symb. Log.
Journal
Volume
Issue
Citations 
67
3
3
PageRank 
References 
Authors
0.78
5
3
Name
Order
Citations
PageRank
Pilar Dellunde115622.63
Françoise Delon2168.20
Françoise Point32110.04