| Title:
|
Non-modular congruence lattices of Rees matrix semigroups (English) |
| Author:
|
Johnston, Katherine |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
35 |
| Issue:
|
3 |
| Year:
|
1985 |
| Pages:
|
429-443 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
08B10 |
| MSC:
|
20M10 |
| idZBL:
|
Zbl 0592.20062 |
| idMR:
|
MR803038 |
| DOI:
|
10.21136/CMJ.1985.102033 |
| . |
| Date available:
|
2008-06-09T15:06:16Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102033 |
| . |
| Reference:
|
[1] A. H. Clifford, G. B. Preston: The Algebraic Theory of Semigroups.Math. Surveys, No. 7, Vol. I, (1961), Vol. II, (1967), Amer. Math. Soc., Providence, R.I. Zbl 0111.03403 |
| Reference:
|
[2] P. Crawley, R. P. Dilworth: Algebraic Theory of Lattices.Prentice-Hall, Englewood Cliffs, NJ, 1973. Zbl 0494.06001 |
| Reference:
|
[3] J. M. Howie: An Introduction to Semigroup Theory.Academic Press, London, 1976. Zbl 0355.20056, MR 0466355 |
| Reference:
|
[4] K. G. Johnston: Congruence lattices of Rees matrix semigroups.Semigroup Forum 15 (1978), 247--261. Zbl 0379.06005, MR 0466380, 10.1007/BF02195757 |
| Reference:
|
[5] P. R. Jones: Universal aspects of completely simple semigroups.Semigroups, Proc. Conf. Monash Univ. 1979, pp. 27-46, Academic Press, NY, 1980. MR 0586748 |
| Reference:
|
[6] G. Lallement: A note on congruences on Rees matrix semigroups.Semigroup Forum 8 (1974), 89-92. Zbl 0287.20054, MR 0382505, 10.1007/BF02194751 |
| Reference:
|
[7] H. Mitsch: Semigroups and their lattice of congruences.Semigroup Forum 26 (1983), 1 - 63. Zbl 0513.20047, MR 0685115, 10.1007/BF02572819 |
| Reference:
|
[8] R. Remak: Über minimale invariante Untergruppen in der Theorie der endlichen Gruppen.Journ. reine u. angew. Math. 162 (1930), 1 - 16. |
| Reference:
|
[9] T. Tamara: Decompositions of a completely simple semigroup.Osaka Math. J. 12 (1960), 269-275. MR 0125893 |
| . |
