Non-modular congruence lattices of Rees matrix semigroups
Czechoslovak Mathematical Journal (1985)
- Volume: 35, Issue: 3, page 429-443
- ISSN: 0011-4642
Access Full Article
top
How to cite
topJohnston, Katherine. "Non-modular congruence lattices of Rees matrix semigroups." Czechoslovak Mathematical Journal 35.3 (1985): 429-443. <http://eudml.org/doc/13527>.
@article{Johnston1985,
author = {Johnston, Katherine},
journal = {Czechoslovak Mathematical Journal},
keywords = {congruence lattices; non-modular lattice; completely (0-)simple semigroup; Rees matrix representation; subdirect product; lattice of equivalence relations; lattice of normal subgroups},
language = {eng},
number = {3},
pages = {429-443},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Non-modular congruence lattices of Rees matrix semigroups},
url = {http://eudml.org/doc/13527},
volume = {35},
year = {1985},
}
TY - JOUR
AU - Johnston, Katherine
TI - Non-modular congruence lattices of Rees matrix semigroups
JO - Czechoslovak Mathematical Journal
PY - 1985
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 35
IS - 3
SP - 429
EP - 443
LA - eng
KW - congruence lattices; non-modular lattice; completely (0-)simple semigroup; Rees matrix representation; subdirect product; lattice of equivalence relations; lattice of normal subgroups
UR - http://eudml.org/doc/13527
ER -
References
top- 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. (1961) Zbl0111.03403
- P. Crawley, R. P. Dilworth, Algebraic Theory of Lattices, Prentice-Hall, Englewood Cliffs, NJ, 1973. (1973) Zbl0494.06001
- J. M. Howie, An Introduction to Semigroup Theory, Academic Press, London, 1976. (1976) Zbl0355.20056MR0466355
- K. G. Johnston, 10.1007/BF02195757, Semigroup Forum 15 (1978), 247--261. (1978) Zbl0379.06005MR0466380DOI10.1007/BF02195757
- P. R. Jones, Universal aspects of completely simple semigroups, Semigroups, Proc. Conf. Monash Univ. 1979, pp. 27-46, Academic Press, NY, 1980. (1979) MR0586748
- G. Lallement, 10.1007/BF02194751, Semigroup Forum 8 (1974), 89-92. (1974) Zbl0287.20054MR0382505DOI10.1007/BF02194751
- H. Mitsch, 10.1007/BF02572819, Semigroup Forum 26 (1983), 1 - 63. (1983) Zbl0513.20047MR0685115DOI10.1007/BF02572819
- R. Remak, Über minimale invariante Untergruppen in der Theorie der endlichen Gruppen, Journ. reine u. angew. Math. 162 (1930), 1 - 16. (1930)
- T. Tamara, Decompositions of a completely simple semigroup, Osaka Math. J. 12 (1960), 269-275. (1960) MR0125893
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.