The constants of the Volterra derivation

Pál Hegedűs

Open Mathematics (2012)

  • Volume: 10, Issue: 3, page 969-973
  • ISSN: 2391-5455

Abstract

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The ring of constants of the Volterra derivation is found. Confirming a conjecture of Zielinski, it is always a polynomial ring.

How to cite

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Pál Hegedűs. "The constants of the Volterra derivation." Open Mathematics 10.3 (2012): 969-973. <http://eudml.org/doc/269462>.

@article{PálHegedűs2012,
abstract = {The ring of constants of the Volterra derivation is found. Confirming a conjecture of Zielinski, it is always a polynomial ring.},
author = {Pál Hegedűs},
journal = {Open Mathematics},
keywords = {Volterra derivation; Polynomial constant; polynomial constant},
language = {eng},
number = {3},
pages = {969-973},
title = {The constants of the Volterra derivation},
url = {http://eudml.org/doc/269462},
volume = {10},
year = {2012},
}

TY - JOUR
AU - Pál Hegedűs
TI - The constants of the Volterra derivation
JO - Open Mathematics
PY - 2012
VL - 10
IS - 3
SP - 969
EP - 973
AB - The ring of constants of the Volterra derivation is found. Confirming a conjecture of Zielinski, it is always a polynomial ring.
LA - eng
KW - Volterra derivation; Polynomial constant; polynomial constant
UR - http://eudml.org/doc/269462
ER -

References

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  1. [1] Ossowski P., Zielinski J., Polynomial algebra of constants of the four variable Lotka-Volterra system, Colloq. Math., 2010, 120(2), 299–309 http://dx.doi.org/10.4064/cm120-2-9 Zbl1207.13016
  2. [2] Zielinski J., The five-variable Volterra system, Cent. Eur. J. Math., 2011, 9(4), 888–896 http://dx.doi.org/10.2478/s11533-011-0032-0 Zbl1236.13024

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