| Title:
             | 
On semigroups having a kernel (English) | 
| Author:
             | 
Schwarz, Štefan | 
| Language:
             | 
English | 
| Journal:
             | 
Czechoslovak Mathematical Journal | 
| ISSN:
             | 
0011-4642 (print) | 
| ISSN:
             | 
1572-9141 (online) | 
| Volume:
             | 
1 | 
| Issue:
             | 
4 | 
| Year:
             | 
1951 | 
| Pages:
             | 
229-264 | 
| . | 
| Category:
             | 
math | 
| . | 
| MSC:
             | 
20.0X | 
| idZBL:
             | 
Zbl 0048.25302 | 
| idMR:
             | 
MR0051221 | 
| DOI:
             | 
10.21136/CMJ.1951.100031 | 
| . | 
| Date available:
             | 
2008-06-09T12:38:26Z | 
| Last updated:
             | 
2020-07-28 | 
| Stable URL:
             | 
http://hdl.handle.net/10338.dmlcz/100031 | 
| . | 
| Reference:
             | 
[CLIFFORD-1] Clifford A. H.: A system arising from a weakened set of group postulates.Ann. of Math. 34 (1933), 865-871. Zbl 0008.05002, MR 1503137, 10.2307/1968703 | 
| Reference:
             | 
[CLIFFORD-2] Clifford A. H.: Semigroups admitting relative inverses.Ann. of Math. 42 (1941), 1037-1049. Zbl 0063.00920, MR 0005744, 10.2307/1968781 | 
| Reference:
             | 
[CLIFFORD-3] Clifford A. H.: Semigroups containing minimal ideals.Amer. J. Math. 70 (1948), 521-526. Zbl 0038.01103, MR 0025476, 10.2307/2372195 | 
| Reference:
             | 
[CLIFFORD-4] Clifford A. H.: Semigroups without nilpotent ideals.Amer. J. Math. 71 (1949), 834-844.  Zbl 0045.30101, MR 0032661, 10.2307/2372367 | 
| Reference:
             | 
[CLIFFORD-5] Clifford A. H.: Extensions of semigroups.Trans. Amer. Math. Soc. 68 (1950), 165-173. Zbl 0037.01001, MR 0033836, 10.1090/S0002-9947-1950-0033836-2 | 
| Reference:
             | 
[CLIFFORD-6] Clifford A. H.: Matrix representation of completely simple semigroups.Amer. J. Math. 64 (1942), 237-342. MR 0006551, 10.2307/2371687 | 
| Reference:
             | 
[Ляпин-1] Ляпин E. C.: Нормальные комплексы ассоциативных систем.Изв. Ак. Наук СССР, серия матем., 14 (1950), 179-192. Zbl 1157.76305, MR 0034372 | 
| Reference:
             | 
[Ляпин-2] Ляпин E. C.: Простые коммутативные ассоциативные системы.Изв. Ак. Наук СССР, серия матем., 14 (1950), 275-282. Zbl 1157.76305, MR 0035755 | 
| Reference:
             | 
[Ляпин-3] Ляпин E. C.: Полупростые коммутативные ассоциативные системы.Изв. Ак. Наук СССР, серия матем., 14 (1950), 367-380. Zbl 1157.76305, MR 0036747 | 
| Reference:
             | 
[REES-1] Rees D.: On semi-groups.Proc. Cambridge Phil. Soc. 3S (1940), 387-400. Zbl 0028.00401, MR 0002893 | 
| Reference:
             | 
[REES-2] Rees D.: Note on semi-groups.ibidem 37 (1941), 434-435. Zbl 0063.06456, MR 0005743 | 
| Reference:
             | 
[RICH-1] Rich R. P.: Completely simple ideals of a semigroup.Amer. J. Math. 71 (1949), 883-885. Zbl 0041.35801, MR 0032662, 10.2307/2372373 | 
| Reference:
             | 
[SUSCHKEVITSCH-1] Suschkewitsch A.: Über die endlichen Gruppen ohne das Gesetz der eindeutigen Umkehrbarkeit.Math. Aim. 99 (1928), 30-50. MR 1512437 | 
| Reference:
             | 
[SCHWARZ-1] Schwarz Št.: Teória pologrúp.Sbomîk prác Prírodovedeckej fak. Slov. univerzity, č. 6 (1943), 1-64.  MR 0025477 | 
| Reference:
             | 
[SCHWARZ-2] Schwarz Št.: On the structure of simple semigroups without zero.(Структура простых полугрупп вез нуля), Časopis pěst. mat. I (76) (1951), 41-53. Zbl 0045.15608, MR 0048428 | 
| . |