A categorical contribution to the Kummer theory of ideal numbers

Ladislav Skula

Mathematica Slovaca (2003)

  • Volume: 53, Issue: 3, page 255-271
  • ISSN: 0139-9918

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Skula, Ladislav. "A categorical contribution to the Kummer theory of ideal numbers." Mathematica Slovaca 53.3 (2003): 255-271. <http://eudml.org/doc/31687>.

@article{Skula2003,
author = {Skula, Ladislav},
journal = {Mathematica Slovaca},
keywords = {Kummer's ideal complex numbers; theory of divisors; Čech-Stone -compactification; reflective subcategory; reflection},
language = {eng},
number = {3},
pages = {255-271},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {A categorical contribution to the Kummer theory of ideal numbers},
url = {http://eudml.org/doc/31687},
volume = {53},
year = {2003},
}

TY - JOUR
AU - Skula, Ladislav
TI - A categorical contribution to the Kummer theory of ideal numbers
JO - Mathematica Slovaca
PY - 2003
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 53
IS - 3
SP - 255
EP - 271
LA - eng
KW - Kummer's ideal complex numbers; theory of divisors; Čech-Stone -compactification; reflective subcategory; reflection
UR - http://eudml.org/doc/31687
ER -

References

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  8. KUMMER E. E., Über die Zerlegung der aus Wurzeln der Einheit gebildeten komplexen Zahlen in ihre Primfactoren, J. Reine Angew. Math. 35 (1847), 327-367 (Collected Papers, 211-251). 
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  10. POSPÍŠIL B., Remark on bicompact spaces, Ann. of Math. (2) 38 (1937), 845-846. (1937) Zbl0017.42901MR1503375
  11. RIBENBOIM P., The work of Kummer on Fermaťs last theorem, In: Proc. Conf., Prog. Math. 26 (1982), pp. 1-29. (1982) MR0685285
  12. SKULA L., Divisorentheorie einer Halbgruppe, Math. Z. 114 (1970), 113-120. (1970) Zbl0177.03202MR0262401
  13. SKULA L., Fortsetzung stetiger Homomorphismen von δ -Halbgruppen, J. Reine Angew. Math. 261 (1973), 71-87. (1973) Zbl0266.20067MR0342633
  14. SKULA L., Maximale δ - und δ 1 -Kategorien, J. Reine Angew. Math. 274/275 (1975), 287-298. (1975) Zbl0308.20048MR0393199
  15. WALKER R. C., The Stone-Čech Compactification, Springer-Verlag, Berlin-Heidelberg-New York, 1974. (1974) Zbl0292.54001MR0380698

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