Systems of equations depending on certain ideals

Ladislav Skula

Archivum Mathematicum (1985)

  • Volume: 021, Issue: 1, page 23-38
  • ISSN: 0044-8753

How to cite

top

Skula, Ladislav. "Systems of equations depending on certain ideals." Archivum Mathematicum 021.1 (1985): 23-38. <http://eudml.org/doc/18151>.

@article{Skula1985,
author = {Skula, Ladislav},
journal = {Archivum Mathematicum},
keywords = {Kummer's system of equations; Stickelberger ideal; the first case of Fermat's last theorem; Mirimanoff polynomials; group ring of a cyclic group over the Galois field; cyclic group; system of polynomial equations; Stickelberger ideal; Kummer's equations; Fermat's last theorem},
language = {eng},
number = {1},
pages = {23-38},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Systems of equations depending on certain ideals},
url = {http://eudml.org/doc/18151},
volume = {021},
year = {1985},
}

TY - JOUR
AU - Skula, Ladislav
TI - Systems of equations depending on certain ideals
JO - Archivum Mathematicum
PY - 1985
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 021
IS - 1
SP - 23
EP - 38
LA - eng
KW - Kummer's system of equations; Stickelberger ideal; the first case of Fermat's last theorem; Mirimanoff polynomials; group ring of a cyclic group over the Galois field; cyclic group; system of polynomial equations; Stickelberger ideal; Kummer's equations; Fermat's last theorem
UR - http://eudml.org/doc/18151
ER -

References

top
  1. P. Bachmann, Das Fermatproblem in seiner bisherigen Entwicklung, Walter de Gruyter, Berlin und Leipzig, 1919. (1919) Zbl47.0105.02
  2. E. E. Kummer, Einige Sätze über die aus den Wurzeln der Gleichnung α λ = 1 gebildeten complexen Zahlen für den Fall, dass die Classenzahl durch λ teilbar ist, nebst Anwendung derselben auf einen weiteren Beweis des letzten Fermatschen Lehrsatzes, Abhandl., Königl. Akad. Wiss., Beгlin, 1857, 41-74. 
  3. P. Le Lidec, Sur une forme nouvelle des congruences de Kummer-Mirimanoff, C. R. Acad. Sc. Paris, 265 (1967), Série A, 89-90. (1967) Zbl0154.29602MR0217013
  4. P. Le Lidec, Nouvelle forme des congruences de Kummer-Mirimanoff pour le premier cas du théoréme de Fermat, Bull. Soc. Math. France, 97 (1969), 321-328. (1969) Zbl0188.10102MR0262158
  5. M. Mirimanoff, L’équation indéterminèe z 1 + y 1 + z 1 = 0 et le critérium de Kummer, J. Reine Angew. Math., 128 (1905), 45-68. (1905) 
  6. P. Ribenboim, 13 Lectures on Fermat's Last Theorem, Springer-Verlag, New York-Heidelberg-Berlin, 1979. (1979) Zbl0456.10006MR0551363
  7. L. Skula, On certain ideals of the group ring Z[G], Archivum Mathematicum (Brno), XV (1979), 53 T 66. (1979) Zbl0435.12006MR0562111
  8. L. Skula, A remark on Mirimanoff polynomials, Comentarii Mathematici Universitatis Sancti Pauli (Tokyo), vol. 31, no. 1 (1982), 89-97. (1982) Zbl0496.10006MR0674586
  9. L. Skula, A note on index of irregularity, to appear. Zbl0589.12006MR0826946

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.