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Editors’ foreword

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Applicable Algebra in Engineering, Communication and Computing Aims and scope

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References

  1. Cohn R.M.: Order and dimension. Proc. Am. Math. Soc. 87(1), 1–6 (1983)

    Article  MATH  Google Scholar 

  2. Hrushovski, E.: The elementary theory of the frobenius automorphisms. http://arXiv.org/abs/math/0406514 (2004), (preprint)

  3. Jacobi, C.G.J.: De investigando ordine systematis aequationum differentialum vulgarium cujuscunque, [Crelle 64], vol. 4, pp. 297–320, [GW V] pp. 193–216. English translation (this issue of AAECC)

  4. Jacobi, C.G.J.: De aequationum differentialum systemate non normali ad formam normalem revocando, [VD] pp. 550–578, [GW V] pp. 485–513. English translation (this issue of AAECC)

  5. Jacobi, C.G.J.: Theoria novi multiplicatoris systemati aequationum differentialium vulgarium applicandi, first published in [Crelle 27], vol. 3, pp. 199–268 (part I), [Crelle 29], vol. 3, pp. 213–279, vol. 4, pp. 333–376 (part II), reproduced in [GW IV], pp. 317–509

  6. Kondratieva, M.V., Mikhalev, A.V., Pankratiev, E.V.: Jacobi’s bound for systems of differential polynomials (in Russian). In: Algebra, Moscow University Press, pp. 79–85 (1982)

  7. Kondratieva, M.V., Mikhalev, A.V., Pankratiev, E.V.: Jacobi’s bound for independent systems of algebraic partial differential equations (2009), (this issue of AAECC)

  8. Lando B.A.: Jacobi’s bound for the order of systems of first order differential equations. Trans. Am. Math. Soc. 152, 119–135 (1970)

    Article  MATH  MathSciNet  Google Scholar 

  9. Lorch E.R.: Obituary : Joseph Fels Ritt. Bull. Am. Math. Soc. 57, 307–318 (1951)

    Article  MATH  MathSciNet  Google Scholar 

  10. Ollivier, F.: Jacobi’s bound and normal forms computations. A historical survey. In: Differential Algebra and Related Topics. World Scientific Publishing Company. ISBN 978-981-283-371-6 (2009), (to appear)

  11. Pryce, J.D.: A simple structural analysis method for DAEs. BIT Numer. Math. 41, 2, 364–394 (2001)

    Google Scholar 

  12. Ritt J.F.: Jacobi’s problem on the order of a system of differential equations. Ann. Math. 36, 303–312 (1935)

    Article  MathSciNet  Google Scholar 

  13. Volevich L.R.: On general systems of differential equations. Soviet. Math. 1, 458–465 (1960)

    MATH  Google Scholar 

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Authors and Affiliations

  1. Universität Karlsruhe, Karlsruhe, Germany

    Jacques Calmet

  2. CNRS, École polytechnique, Palaiseau, France

    François Ollivier

Authors
  1. Jacques Calmet
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  2. François Ollivier
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Correspondence to Jacques Calmet.

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This special issue is dedicated, on the first anniversary of his death, to the memory of Prof. E. V. Pankratiev.

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Calmet, J., Ollivier, F. Editors’ foreword. AAECC 20, 1–4 (2009). https://doi.org/10.1007/s00200-009-0090-8

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