Non-modular congruence lattices of Rees matrix semigroups

Katherine Johnston

Czechoslovak Mathematical Journal (1985)

  • Volume: 35, Issue: 3, page 429-443
  • ISSN: 0011-4642

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Johnston, 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

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  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. (1961) Zbl0111.03403
  2. P. Crawley, R. P. Dilworth, Algebraic Theory of Lattices, Prentice-Hall, Englewood Cliffs, NJ, 1973. (1973) Zbl0494.06001
  3. J. M. Howie, An Introduction to Semigroup Theory, Academic Press, London, 1976. (1976) Zbl0355.20056MR0466355
  4. K. G. Johnston, 10.1007/BF02195757, Semigroup Forum 15 (1978), 247--261. (1978) Zbl0379.06005MR0466380DOI10.1007/BF02195757
  5. P. R. Jones, Universal aspects of completely simple semigroups, Semigroups, Proc. Conf. Monash Univ. 1979, pp. 27-46, Academic Press, NY, 1980. (1979) MR0586748
  6. G. Lallement, 10.1007/BF02194751, Semigroup Forum 8 (1974), 89-92. (1974) Zbl0287.20054MR0382505DOI10.1007/BF02194751
  7. H. Mitsch, 10.1007/BF02572819, Semigroup Forum 26 (1983), 1 - 63. (1983) Zbl0513.20047MR0685115DOI10.1007/BF02572819
  8. R. Remak, Über minimale invariante Untergruppen in der Theorie der endlichen Gruppen, Journ. reine u. angew. Math. 162 (1930), 1 - 16. (1930) 
  9. T. Tamara, Decompositions of a completely simple semigroup, Osaka Math. J. 12 (1960), 269-275. (1960) MR0125893

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