| Title:
|
A categorical contribution to the Kummer theory of ideal numbers (English) |
| Author:
|
Skula, Ladislav |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
53 |
| Issue:
|
3 |
| Year:
|
2003 |
| Pages:
|
255-271 |
| . |
| Category:
|
math |
| . |
| MSC:
|
11R27 |
| idZBL:
|
Zbl 1062.11068 |
| idMR:
|
MR2025022 |
| . |
| Date available:
|
2009-09-25T14:14:49Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128957 |
| . |
| Reference:
|
[1] ARNOLD I.: Ideale in kommutativen Halbgruppen.Recueil Math. Moscow 36 (1929), 401-407. |
| Reference:
|
[2] BOREVICH Z. L.-SHAFARVICH I. R.: Number Theory.Academic Press, Inc, Orlando, 1966 [Translation from Russian (1964)]. Zbl 0145.04902, MR 0195803 |
| Reference:
|
[3] CLIFFORD A. H.: Arithemtic and ideal theory of abstract multiplication.Bull. Amer. Math. Soc. 15 (1934), 326-330. MR 1562845 |
| Reference:
|
[4] CLIFFORD A. H.: Arithmetic and ideal theory of commutative semigroups.Ann. of Math. (2) 39 (1938), 594-610. Zbl 0019.19401, MR 1503427 |
| Reference:
|
[5] HERRLICH H.: Topologische Reflexionen und Coreflexionen.Lectures Notes in Math. 78, Springer-Verlag, Berlin-Heidelberg-New York, 1968. Zbl 0182.25302, MR 0256332 |
| Reference:
|
[6] HERRLICH H.-STRECKER G. E.: Category Theory.Allyn and Bacon, Boston, 1973. Zbl 0265.18001, MR 0349791 |
| Reference:
|
[7] KUMMER E. E.: Zur Theorie der komplexen Zahlen.Berlin. Monatsber. (1845), 87-96 (Abgedruckt in: J. Reine Angew. Math. 35 (1847), 319-326. Collected Papers, 203-210). |
| Reference:
|
[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). |
| Reference:
|
[9] MITCHELL B.: Theory of Categories.Academic Press, New York and London, 1965. Zbl 0136.00604, MR 0202787 |
| Reference:
|
[10] POSPÍŠIL B.: Remark on bicompact spaces.Ann. of Math. (2) 38 (1937), 845-846. Zbl 0017.42901, MR 1503375 |
| Reference:
|
[11] RIBENBOIM P.: The work of Kummer on Fermaťs last theorem.In: Proc. Conf., Prog. Math. 26 (1982), pp. 1-29. MR 0685285 |
| Reference:
|
[12] SKULA L.: Divisorentheorie einer Halbgruppe.Math. Z. 114 (1970), 113-120. Zbl 0177.03202, MR 0262401 |
| Reference:
|
[13] SKULA L.: Fortsetzung stetiger Homomorphismen von $\delta$-Halbgruppen.J. Reine Angew. Math. 261 (1973), 71-87. Zbl 0266.20067, MR 0342633 |
| Reference:
|
[14] SKULA L.: Maximale $\delta$- und $\delta_1$-Kategorien.J. Reine Angew. Math. 274/275 (1975), 287-298. Zbl 0308.20048, MR 0393199 |
| Reference:
|
[15] WALKER R. C.: The Stone-Čech Compactification.Springer-Verlag, Berlin-Heidelberg-New York, 1974. Zbl 0292.54001, MR 0380698 |
| . |
