@article{10_21136_CMJ_1985_102033,
author = {Johnston, Katherine},
title = {Non-modular congruence lattices of {Rees} matrix semigroups},
journal = {Czechoslovak Mathematical Journal},
pages = {429--443},
year = {1985},
volume = {35},
number = {3},
doi = {10.21136/CMJ.1985.102033},
mrnumber = {803038},
zbl = {0592.20062},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1985.102033/}
}
TY - JOUR AU - Johnston, Katherine TI - Non-modular congruence lattices of Rees matrix semigroups JO - Czechoslovak Mathematical Journal PY - 1985 SP - 429 EP - 443 VL - 35 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1985.102033/ DO - 10.21136/CMJ.1985.102033 LA - en ID - 10_21136_CMJ_1985_102033 ER -
Johnston, Katherine. Non-modular congruence lattices of Rees matrix semigroups. Czechoslovak Mathematical Journal, Tome 35 (1985) no. 3, pp. 429-443. doi: 10.21136/CMJ.1985.102033
[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
[2] P. Crawley, R. P. Dilworth: Algebraic Theory of Lattices. Prentice-Hall, Englewood Cliffs, NJ, 1973. | Zbl
[3] J. M. Howie: An Introduction to Semigroup Theory. Academic Press, London, 1976. | MR | Zbl
[4] K. G. Johnston: Congruence lattices of Rees matrix semigroups. Semigroup Forum 15 (1978), 247--261. | DOI | MR | Zbl
[5] P. R. Jones: Universal aspects of completely simple semigroups. Semigroups, Proc. Conf. Monash Univ. 1979, pp. 27-46, Academic Press, NY, 1980. | MR
[6] G. Lallement: A note on congruences on Rees matrix semigroups. Semigroup Forum 8 (1974), 89-92. | DOI | MR | Zbl
[7] H. Mitsch: Semigroups and their lattice of congruences. Semigroup Forum 26 (1983), 1 - 63. | DOI | MR | Zbl
[8] R. Remak: Über minimale invariante Untergruppen in der Theorie der endlichen Gruppen. Journ. reine u. angew. Math. 162 (1930), 1 - 16.
[9] T. Tamara: Decompositions of a completely simple semigroup. Osaka Math. J. 12 (1960), 269-275. | MR
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