Skip to main content
Springer Nature Link
Log in

A “Polynomial Shifting” Trick in Differential Algebra

  • Conference paper
  • First Online:
Mathematical Aspects of Computer and Information Sciences (MACIS 2015)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9582))

  • 737 Accesses

Abstract

Throughout the paper all fields are assumed to be of characteristic zero and “differential” means “ordinary differential”.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  1. Lang, S.: Algebra. Graduate Texts in Mathematics. Springer, New York (2002)

    Book  MATH  Google Scholar 

  2. Ritt, J.F.: Differential Algebra, vol. 33. Colloquium publications of AMS, New York (1948)

    Google Scholar 

  3. Pogudin, G.A.: The primitive element theorem for differential fields with zero derivation on the base field. J. Pure Appl. Algebra 219(9), 4035–4041 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  4. Pogudin G.A., A differential analog of the Noether normalization lemma, preprint, submitted to ArXiv

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Moscow State University, Moscow, Russia

    Gleb Pogudin

Authors
  1. Gleb Pogudin
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Gleb Pogudin .

Editor information

Editors and Affiliations

  1. Wilfrid Laurier University, Waterloo, Ontario, Canada

    Ilias S. Kotsireas

  2. Hamburg University of Technology, Hamburg, Germany

    Siegfried M. Rump

  3. New York University, New York, New York, USA

    Chee K. Yap

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this paper

Cite this paper

Pogudin, G. (2016). A “Polynomial Shifting” Trick in Differential Algebra. In: Kotsireas, I., Rump, S., Yap, C. (eds) Mathematical Aspects of Computer and Information Sciences. MACIS 2015. Lecture Notes in Computer Science(), vol 9582. Springer, Cham. https://doi.org/10.1007/978-3-319-32859-1_32

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-32859-1_32

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-32858-4

  • Online ISBN: 978-3-319-32859-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics