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On Lascar rank and Morley rank of definable groups in differentially closed fields

Published online by Cambridge University Press:  12 March 2014

Anand Pillay
Affiliation:
Department of Mathematics, University of Illinois at Urbana Champaign, 273 Altgelt Hall, 1409 West Green Street, Urbana, IL 61801, USA, E-mail: pillay@math.uiuc.edu
Wai Yan Pong
Affiliation:
Department of Mathematics, University of Illinois at Urbana Champaign, 273 Altgelt Hall, 1409 West Green Street, Urbana, IL 61801, USA, E-mail: waipong@math.uiuc.edu

Abstract

Morley rank and Lascar rank are equal on generic types of definable groups in differentially closed fields with finitely many commuting derivations.

Type
Research Article
Copyright
Copyright © Association for Symbolic Logic 2002

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References

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