Complete permutability of partitions in a set. I

Jitka Ševečková; František Šik

Archivum Mathematicum (1989)

  • Volume: 025, Issue: 1-2, page 95-102
  • ISSN: 0044-8753

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Ševečková, Jitka, and Šik, František. "Complete permutability of partitions in a set. I." Archivum Mathematicum 025.1-2 (1989): 95-102. <http://eudml.org/doc/18263>.

@article{Ševečková1989,
author = {Ševečková, Jitka, Šik, František},
journal = {Archivum Mathematicum},
keywords = {associability; complete permutability of partitions},
language = {eng},
number = {1-2},
pages = {95-102},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Complete permutability of partitions in a set. I},
url = {http://eudml.org/doc/18263},
volume = {025},
year = {1989},
}

TY - JOUR
AU - Ševečková, Jitka
AU - Šik, František
TI - Complete permutability of partitions in a set. I
JO - Archivum Mathematicum
PY - 1989
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 025
IS - 1-2
SP - 95
EP - 102
LA - eng
KW - associability; complete permutability of partitions
UR - http://eudml.org/doc/18263
ER -

References

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  1. G. Birkhoff, Lattice Theory, 3rd ed. Providence, 1979. (1979) Zbl0505.06001MR0598630
  2. O. Borůvka, Theory of partitions in a set, (Czech). Publ. Fac. Sci. Univ. Brno, No. 278 (1946), 1-37. (1946) 
  3. O. Borůvka, Foundations of the theory of groupoids and groups, Berlin 1974, (Czech) Praha 1962, (German) Berlin 1960. (1974) 
  4. H. Draškovičová, The lattice of partitions in a set, Acta F. R. N. Univ. Comen.-Math. 24 (1970), 37-65. (1970) MR0297652
  5. H. Draškovičová, On a generalization of permutable equivalence relations, Mat. Čas. SAV 22 (1972), 297-308. (1972) MR0308006
  6. H. Draškovičová, Permutability, distributivity of equivalence relations and direct products, Mat. Čas. SAV 23 (1973), 69-87. (1973) MR0323668
  7. J. Hashimoto, Direct, subdirect decompositions and congruence relations, Osaka Math. J. 9 (1957), 87-112. (1957) Zbl0078.01805MR0091248
  8. A. G. Kuroš, Lekcii po obščej algebre, Moskva 1962. (1962) 
  9. T. D. Mai, Partitions and congruences in algebras I-IV, Archivum Math. (Brno) 10 (1974), I 111-122, II 158-172, III 173-187, IV 231-253. (1974) 
  10. E. T. Schmidt, Kongruenzrelationen algebraischer Strukturen, Berlin 1969. (1969) Zbl0198.33301MR0255474
  11. G. Szász, Théorie des treillis, Budapest 1971. (1971) MR0321818
  12. J. Ševečková, Compact elements of the lattice of congruences in an algebra, Čas. pěst. mat. 102 (1977), 304-311. (1977) MR0463086
  13. O. Ore, Theory of equivalence relations, Duke Math. J. 9 (1942), 573-627. (1942) Zbl0060.06201MR0007388

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