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Article

Title: Affine completeness of complete lattice ordered groups (English)
Author: Jakubík, Ján
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 45
Issue: 3
Year: 1995
Pages: 571-576
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Category: math
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MSC: 06F15
MSC: 20F60
idZBL: Zbl 0841.06013
idMR: MR1344522
DOI: 10.21136/CMJ.1995.128545
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Date available: 2009-09-24T09:50:48Z
Last updated: 2020-07-29
Stable URL: http://hdl.handle.net/10338.dmlcz/128545
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Reference: [1] P. Conrad: Lattice ordered groups.Tulane University, 1970. Zbl 0258.06011
Reference: [2] D. Dorninger, G. Eigenthaler: On compatible and order-preserving functions.Algebra and Applications, Banach Center Publications, Vol. 9, Warsaw, 1982, pp. 97–104. MR 0738806
Reference: [3] G. Grätzer: On Boolean functions (Notes on lattice theory II).Revue de Math. Pures at Appliquées 7 (1962), 693–697. MR 0177922
Reference: [4] G. Grätzer: Boolean functions on distributive lattices.Acta Math. Acad. Sci. Hung 15 (1964), 195–201. MR 0168499, 10.1007/BF01897037
Reference: [5] T. K. Hu: Characterization of algebraic functions in equational classes generated by independent primal algebras.Algebra Universalis 1 (1971), 187–191. Zbl 0242.08004, MR 0296000, 10.1007/BF02944977
Reference: [6] A. F. Pixley: Functional affine completeness and arithmetical varieties.Lecture Notes, Montreal, 1991.
Reference: [7] M. Ploščica: Affine complete distributive lattices.Submitted.
Reference: [8] D. Schweigert: Über endliche, ordnungspolynomvollständige Verbände.Monatsh. Math. 78 (1974), 68–76. Zbl 0287.06004, MR 0340124, 10.1007/BF01298196
Reference: [9] H. Werner: Produkte von Kongruenzklassengeometrien universeller Algebren.Math. Z. 121 (1971), 111–140. Zbl 0203.22902, MR 0281681, 10.1007/BF01113481
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