| Title:
|
On dual semigroups (English) |
| Author:
|
Schwarz, Štefan |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
10 |
| Issue:
|
2 |
| Year:
|
1960 |
| Pages:
|
201-230 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
20.00 |
| idZBL:
|
Zbl 0098.01602 |
| idMR:
|
MR0117294 |
| DOI:
|
10.21136/CMJ.1960.100404 |
| . |
| Date available:
|
2008-06-09T13:06:36Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/100404 |
| . |
| Reference:
|
[1] R. Baer: Inverses and zero-divisors.Bull. Amer. Math. Soc. 48 (1942), 630-638. Zbl 0060.07103, MR 0006997, 10.1090/S0002-9904-1942-07750-0 |
| Reference:
|
[2] R. Baer: Rings with duals.Amer. J. Math. 65 (1943), 569-584. Zbl 0060.07201, MR 0009020, 10.2307/2371866 |
| Reference:
|
[3] F. F. Bonsall A. W. Goldie: Annihilator algebras.Proc. London Math. Soc. 4 (1954), 154-167. MR 0061768 |
| Reference:
|
[4] A. H. Clifford: Semigroups without nilpotent ideals.Amer. J. Math. 71 (1949), 834-844. Zbl 0045.30101, MR 0032661, 10.2307/2372367 |
| Reference:
|
[5] M. Hall: A type of algebraic closure.Ann. of Math. 40 (1939), 360-369. Zbl 0021.10201, MR 1503463, 10.2307/1968924 |
| Reference:
|
[6] I. Kaplansky: Dual rings.Ann. of Math. 49 (1948), 689-701. Zbl 0031.34401, MR 0025452, 10.2307/1969052 |
| Reference:
|
[7] M. A. Najmark: Normirovannije koljca.(Russian), Gostechizdat, Moskva, 1956. |
| Reference:
|
[8] T. Nakayama: On Frobeniusean algebras I and II.Ann. of Math. 40 (1939), 611-633 and 42 (1941), 1-21. MR 0000016, 10.2307/1968946 |
| Reference:
|
[9] T. Nakayama: Algebras with anti-isomorphic left and right ideal lattices.Proc. Imp. Acad. Tokyo 17 (1941), 53-56. Zbl 0026.05802, MR 0004236 |
| Reference:
|
[10] D. Bees: On semi-groups.Proc. Cambridge Phil. Soc. 36 (1940), 387-400. MR 0002893 |
| Reference:
|
[11] Š. Schwarz: On semigroups having a kernel.Czechoslovak Math. J. 1 (76) (1951), 229-265. MR 0051221 |
| Reference:
|
[12] Š. Schwarz: Maksimal'nije idealy v teoriji polugrupp II.(Russian), Czechoslovak Math. J. 3 (78) (1953), 365-383. |
| Reference:
|
[13] K. G. Wolfson: Annihilator rings.J. London Math. Soc. 31 (1956), 94-104. Zbl 0070.11901, MR 0074798 |
| Reference:
|
[14] A. H. Clifford: Matrix representations of completely simple semigroups.Amer. J. Math. 64 (1942), 327-342. Zbl 0061.02404, MR 0006551, 10.2307/2371687 |
| Reference:
|
[15] W. D. Murin: Matrix representations of semigroups.Proc. Camb. Phil. Soc. 53 (1956), 5-12. MR 0082050 |
| . |
