| Title:
|
On compressed ideals in topological semigroups (English) |
| Author:
|
Shum, Kar-Ping |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
25 |
| Issue:
|
2 |
| Year:
|
1975 |
| Pages:
|
261-273 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| MSC:
|
22A15 |
| idZBL:
|
Zbl 0316.22004 |
| idMR:
|
MR0369602 |
| DOI:
|
10.21136/CMJ.1975.101316 |
| . |
| Date available:
|
2008-06-09T14:12:21Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101316 |
| . |
| Reference:
|
[1] V. Y. Andrunakievic, Ju. M. Rjabuhin: Rings with nilpotent elements and completely simple ideals.Soviet Math. Dokl. Vol. 9 (1968), No. 3 p. 565-568. |
| Reference:
|
[2] W. H. Cornish, P. N. Stewart: Rings with no nilpotent elements with the maximum condition on annihilators.(To appear in Canadian Math. Bulletin.) MR 0352167 |
| Reference:
|
[3] W. J. Faucett R. J. Koch, K. Numakura: Complements of maximal ideals in compact semigroups.Duke Math. Journal 22 (1955), pp. 655-661. MR 0072425, 10.1215/S0012-7094-55-02270-5 |
| Reference:
|
[4] С. S. Ноо, K. P. Shum: On algebraic radicals in mobs.Colloquim Math. Vol. 25 (1972), p. 25-35. Zbl 0236.22004, MR 0302813, 10.4064/cm-25-1-25-35 |
| Reference:
|
[5] K. Iseki: On ideals in semiring.Proc. Japan Acad. 34 (1958), No. 8, p. 507-509. Zbl 0085.02101, MR 0100041 |
| Reference:
|
[6] J. Kist: Minimal prime ideals in commutative semigroups.Proc. London Math. Soc. (3) 75 (1963), p. 31-50. Zbl 0108.04004, MR 0143837 |
| Reference:
|
[7] N. H. McCoy: The theory of rings.Macmillan Company, New York (1964). Zbl 0121.03803, MR 0188241 |
| Reference:
|
[8] K. Numakura: Prime ideals and idempotents in compact semigroups.Duke Math. Journal 24 (1957), p. 671-679. Zbl 0218.22004, MR 0091426, 10.1215/S0012-7094-57-02475-4 |
| Reference:
|
[9] A. B. Paalman, de Miranda: Topological semigroups.Mathematisch Centrum, Amsterdam 1964. Zbl 0136.26904, MR 0167963 |
| Reference:
|
[10] Š. Schwarz: On dual semigroups.Czech. Math. Journal 10 (1960), p. 201 - 230. Zbl 0098.01602, MR 0117294 |
| Reference:
|
[11] Š. Schwarz: Prime ideals and maximal ideals in semigroups.Czech. Math. Journal 19 (1969), p. 72-79. Zbl 0176.29503, MR 0237680 |
| Reference:
|
[12] K. P. Shum, С. S. Ноо: On compact N-semigroups.submitted to Czech. Math. Journal. Zbl 0332.22003 |
| Reference:
|
[13] K. P. Shum: On the boundary of algebraic radical of ideals in topological semigroups.(To appear in Acta Math. Hung.) |
| Reference:
|
[14] G. Thierrin: Sur les idéaux complement premiers d'un anneau quelconque.Bull. Acad. Royale Belgique, 43 (1957) p. 124-132. MR 0087639 |
| Reference:
|
[15] A. D. Wallace: Lecture notes on semigroups.Tulane University, 1956. |
| . |
