Systems of equations depending on certain ideals

Ladislav Skula

Archivum Mathematicum (1985)

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

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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

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  1. P. Bachmann, Das Fermatproblem in seiner bisherigen Entwicklung, Walter de Gruyter, Berlin und Leipzig, 1919. (1919) 
  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) MR0562111
  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. MR0826946

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