Title:
|
Complete permutability of partitions in a set. I (English) |
Author:
|
Ševečková, Jitka |
Author:
|
Šik, František |
Language:
|
English |
Journal:
|
Archivum Mathematicum |
ISSN:
|
0044-8753 (print) |
ISSN:
|
1212-5059 (online) |
Volume:
|
25 |
Issue:
|
1 |
Year:
|
1989 |
Pages:
|
95-102 |
. |
Category:
|
math |
. |
MSC:
|
03E20 |
MSC:
|
06F15 |
MSC:
|
08A02 |
MSC:
|
08A30 |
idZBL:
|
Zbl 0728.08001 |
idMR:
|
MR1189204 |
. |
Date available:
|
2008-06-06T06:20:03Z |
Last updated:
|
2012-05-09 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107344 |
. |
Reference:
|
[1] G. Birkhoff: Lattice Theory.3rd ed. Providence, 1979. Zbl 0505.06001, MR 0598630 |
Reference:
|
[2] O. Borůvka: Theory of partitions in a set.(Czech). Publ. Fac. Sci. Univ. Brno, No. 278 (1946), 1-37. |
Reference:
|
[3] O. Borůvka: Foundations of the theory of groupoids and groups.Berlin 1974, (Czech) Praha 1962, (German) Berlin 1960. |
Reference:
|
[4] H. Draškovičová: The lattice of partitions in a set.Acta F. R. N. Univ. Comen.-Math. 24 (1970), 37-65. MR 0297652 |
Reference:
|
[5] H. Draškovičová: On a generalization of permutable equivalence relations.Mat. Čas. SAV 22 (1972), 297-308. MR 0308006 |
Reference:
|
[6] H. Draškovičová: Permutability, distributivity of equivalence relations and direct products.Mat. Čas. SAV 23 (1973), 69-87. MR 0323668 |
Reference:
|
[7] J. Hashimoto: Direct, subdirect decompositions and congruence relations.Osaka Math. J. 9 (1957), 87-112. Zbl 0078.01805, MR 0091248 |
Reference:
|
[8] A. G. Kuroš: Lekcii po obščej algebre.Moskva 1962. |
Reference:
|
[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. |
Reference:
|
[10] E. T. Schmidt: Kongruenzrelationen algebraischer Strukturen.Berlin 1969. Zbl 0198.33301, MR 0255474 |
Reference:
|
[11] G. Szász: Théorie des treillis.Budapest 1971. MR 0321818 |
Reference:
|
[12] J. Ševečková: Compact elements of the lattice of congruences in an algebra.Čas. pěst. mat. 102 (1977), 304-311. MR 0463086 |
Reference:
|
[13] O. Ore: Theory of equivalence relations.Duke Math. J. 9 (1942), 573-627. Zbl 0060.06201, MR 0007388 |
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