Title:
|
Tolerances, covering systems, and the axiom of choice (English) |
Author:
|
Grätzer, G. |
Author:
|
Wenzel, G. H. |
Language:
|
English |
Journal:
|
Archivum Mathematicum |
ISSN:
|
0044-8753 (print) |
ISSN:
|
1212-5059 (online) |
Volume:
|
25 |
Issue:
|
1 |
Year:
|
1989 |
Pages:
|
27-34 |
. |
Category:
|
math |
. |
MSC:
|
03E25 |
MSC:
|
06B10 |
MSC:
|
08A05 |
MSC:
|
08A30 |
idZBL:
|
Zbl 0711.08002 |
idMR:
|
MR1189196 |
. |
Date available:
|
2008-06-06T06:19:39Z |
Last updated:
|
2012-05-09 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107336 |
. |
Reference:
|
[1] I. Chajda: Partitions, coverings and blocks of compatible relations.Glasnik Mat. Ser. III 14 (34) (1979), 21-26. Zbl 0402.08001, MR 0544058 |
Reference:
|
[2] I. Chajda J. Niederle, B. Zelinka: On existence conditions for compatible tolerances.Czech. Math. J. 26 (1976), 301-311. MR 0401561 |
Reference:
|
[3] I. Chajda, M. Zelinka: Tolerance relations on lattices.Časop. Pěstov. Mat. 99 (1974), 394-399. MR 0360380 |
Reference:
|
[4] I. Chajda, B. Zelinka: Tolerances and convexity.Czech. Math. J. 29 (1979), 584-587. Zbl 0407.06002, MR 0548221 |
Reference:
|
[5] G. Czédli: Factor lattices by tolerances.Acta Sci. Math. 44 (1982), 35-42, MR 0660510 |
Reference:
|
[6] G. Czédli, L. Klukovits: A note on tolerances of idempotent algebras.Glasnik Mat. Ser. III 18 (38), 35-38. MR 0710382 |
Reference:
|
[7] E. Fried, G. Grätzer: Notes on tolerance relations of lattices: On a conjecture of R. McKenzie.Manuscript (1987), 1-12. To appear in Acta Sci. Math. (Szeged). MR 1096802 |
Reference:
|
[8] E. Fried, G. Grätzer: Generalized congruences and products of lattice varieties.Manuscript (1987), 1 -23. To appear in Acta Sci. Math. (Szeged). MR 1073416 |
Reference:
|
[9] G. Grätzer: General Lattice Theory.Academic Press, New York, N. Y.; Birkhäuser Verlag, Basel; Akademie Verlag, Berlin, 1978. MR 0509213 |
Reference:
|
[10] G. Grätzer: Universal Algebra.Second Edition, Springer Verlag, New York, Heidelberg, Berlin, 1968. MR 0538623 |
Reference:
|
[11] G. Grätzer, G. H. Wenzel: Notes on Tolerance Relations of Lattices.Manuskripte Nr. 66, Fakultät für Mathematik und Informatik der Universität Mannheim (1987), 1-20. To appear in Acta Sci. Math. (Szeged). MR 1096802 |
Reference:
|
[12] M. Kindermann: Über die Äquivalenz von Ordnungspolynomvollständigkeit und Toleranzeinfachheit endlicher Verbände.in "Contributions to General Algebra (Proceedings of the Klagenfurt Conference 1978)," 1979, pp. 145-149. MR 0537415 |
Reference:
|
[13] I. Rosenberg, D. Schweigert: Compatible Orderings and Tolerances of Lattices.Preprint No. 70, Univ. Kaiserlautern (1983), 1-44. MR 0779849 |
Reference:
|
[14] B. Zelinka: Tolerances in algebraic structures.Czech. Math. J. 20 (1970), 179-183. MR 0260653 |
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