| Title:
|
Schreier-Zassenhaus theorem for algebras. I (English) |
| Author:
|
Šik, František |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
30 |
| Issue:
|
2 |
| Year:
|
1980 |
| Pages:
|
313-331 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
04A05 |
| MSC:
|
08A05 |
| MSC:
|
20E15 |
| idZBL:
|
Zbl 0419.08003 |
| idMR:
|
MR566055 |
| DOI:
|
10.21136/CMJ.1980.101680 |
| . |
| Date available:
|
2008-06-09T14:39:23Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101680 |
| . |
| Reference:
|
[1] O. Borůvka: Foundations of the Theory of Groupoids and Groups.Berlin 1974 (in German: Berlin 1960, in Czech: Praha 1962). |
| Reference:
|
[2] O. Borůvka: Über Ketten von Faktoroiden.Math. Ann. 118 (1941), 41-64. MR 0005745, 10.1007/BF01487354 |
| Reference:
|
[3] A. Châtelet: Algèbre des relations de congruence.Annales Sci. Ecole Norm. Sup. 64 (1947), 339-368. MR 0026656, 10.24033/asens.953 |
| Reference:
|
[4] A. W. Goldie: The scope of the Jordan-Hölder theorem in abstract algebra.Proc. London Math. Soc., 3. ser., 2 (1952), 349-368. Zbl 0046.03001, MR 0049170 |
| Reference:
|
[5] A. G. Kuroš: Lectures on general algebra.(Russian). Moskva 1962. MR 0141700 |
| Reference:
|
[6] T. D. Mai: Partitions and congruences in algebras, I-IV.Archivum Mathematicum (Brno), 10 (1974) I, 111-122; II, 159-172; III, 173-187; IV, 231-253. |
| Reference:
|
[7] O. Ore: On the theorem of Jordan-Holder.Transact. Am. Math. Soc. 41 (1937), 266-285. MR 1501901 |
| Reference:
|
[8] G. Szász: Théorie des treillis.Budapest 1971. MR 0321818 |
| Reference:
|
[9] F. Šik: Über Charakterisierung kommutativer Zerlegungen.Publ. Fac. Sci. Univ. Masaryk, No. 354 (1954), 1-6. MR 0080105 |
| . |
