The theory of modules of separably closed fields 2

نویسندگان

  • Pilar Dellunde
  • Françoise Delon
  • Françoise Point
چکیده

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 corresponding 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

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عنوان ژورنال:
  • Ann. Pure Appl. Logic

دوره 129  شماره 

صفحات  -

تاریخ انتشار 2004