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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
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Category: math
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MSC: 03E25
MSC: 06B10
MSC: 08A05
MSC: 08A30
idZBL: Zbl 0711.08002
idMR: MR1189196
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Date available: 2008-06-06T06:19:39Z
Last updated: 2012-05-09
Stable URL: http://hdl.handle.net/10338.dmlcz/107336
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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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