Abstract
The main result of this Note is the following: for an algebraic system which evolution depends on variables which are partitionned into w and z, the elimination of the z leads to one set of differential algebraic equations (hence, with no inequations) if the projection map along z is a finite morphism of algebraic varieties; that is, if the differential algebra which defines the system is integral over a suitable differential subalgebra. To obtain this result, is lifted to differential algebra a more general, and well-known result in algebraic geometry which states that a finite morphism of algebraic varieties is a closed one with respect to the Zariski topology.Key Wordsfinite morphisms of differential algebraic varietieselimination theoryalgebraic systems theory
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
