| Title:
|
Completely prime ideals and idempotents in mobs (English) |
| Author:
|
Shum, Kar-Ping |
| Author:
|
Stewart, Patrick N. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
26 |
| Issue:
|
2 |
| Year:
|
1976 |
| Pages:
|
211-217 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
22A15 |
| idZBL:
|
Zbl 0339.22002 |
| idMR:
|
MR0492048 |
| DOI:
|
10.21136/CMJ.1976.101392 |
| . |
| Date available:
|
2008-06-09T14:17:50Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101392 |
| . |
| Reference:
|
[1] D. H. Adams: Semigroups with no non-zero nilpotent elements.Math. Z. 123 (1971), 168-176. Zbl 0212.35803, MR 0289685, 10.1007/BF01110115 |
| Reference:
|
[2] W. H. Cornish: Subdirectly irreducible semirings and semigroups without nonzero nilpotents.Canad. Math. Bull. 16 (1973), 45-47. Zbl 0271.16021, MR 0321982, 10.4153/CMB-1973-010-4 |
| Reference:
|
[3] W. M. Faucett R. J. Koch, K. Numakura: Complements of maximal ideals in compact semigroups.Duke Math. J. 22 (1955), 655-661. MR 0072425, 10.1215/S0012-7094-55-02270-5 |
| Reference:
|
[4] R. J. Koch: Remarks on primitive idempotents in compact semigroups with zero.Proc. Amer. Math. Soc. 5 (1954), 828-833. Zbl 0056.02704, MR 0065569, 10.1090/S0002-9939-1954-0065569-X |
| Reference:
|
[5] R. J. Koch, A. D. Wallace: Maximal ideals in compact semigroups.Duke Math. J. 21 (1954), 681-685. Zbl 0057.01502, MR 0063381, 10.1215/S0012-7094-54-02170-5 |
| Reference:
|
[6] K. Iséki: On ideals in semirings.Proc. Japan Acad. 34 (1958), 501 - 509. MR 0095870 |
| Reference:
|
[7] K. Numakura: Prime ideals and idempotents in compact semigroups.Duke Math. J. 24 (1957), 671-680. Zbl 0218.22004, MR 0091426, 10.1215/S0012-7094-57-02475-4 |
| Reference:
|
[8] A. B. Paalman-de Miranda: Topological Semigroups.second edition. Mathematisch Centrum, Amsterdam, 1970. Zbl 0242.22003 |
| Reference:
|
[9] Št. Schwarz: Prime ideals and maximal ideals in semigroups.Czech. Math. J. 19 (1969), 72-79. Zbl 0176.29503, MR 0237680 |
| Reference:
|
[10] K. P. Shum, С. S. Ноо: On nilpotent elements of semigroups.Colloquium Math. 25 (1972), 211-224. MR 0325838, 10.4064/cm-25-2-211-224 |
| Reference:
|
[11] K. P. Shum: On compressed ideals in topological semigroups.Czech. Math. J. 25 (100), (1975), 261-273. Zbl 0316.22004, MR 0369602 |
| Reference:
|
[12] K. P. Shum: On the boundary of algebraic radical of ideals in topological semigroups.Acta Math. Sci. Hung. 25 (1974), 15-19. MR 0376947, 10.1007/BF01901741 |
| . |
