Abstract | ||
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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 |
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2002 | J. Symb. Log. | Journal |
Volume | Issue | Citations |
67 | 3 | 3 |
PageRank | References | Authors |
0.78 | 5 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Pilar Dellunde | 1 | 156 | 22.63 |
Françoise Delon | 2 | 16 | 8.20 |
Françoise Point | 3 | 21 | 10.04 |