| Title:
|
Affine completness of projectable lattice ordered groups (English) |
| Author:
|
Jakubík, Ján |
| Author:
|
Csontóová, Mária |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
48 |
| Issue:
|
2 |
| Year:
|
1998 |
| Pages:
|
359-363 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06F15 |
| MSC:
|
06F20 |
| MSC:
|
08A40 |
| idZBL:
|
Zbl 0952.06024 |
| idMR:
|
MR1624264 |
| . |
| Date available:
|
2009-09-24T10:14:09Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127422 |
| . |
| Reference:
|
[1] P. Conrad: Lattice Ordered Groups.Tulane University, 1970. Zbl 0258.06011 |
| Reference:
|
[2] P. F. Conrad, J. Harvey, Ch. Holland: The Hahn embedding theorem for lattice-ordered groups.Trans. Amer. Math. Soc. 108 (1963), 143–169. MR 0151534, 10.1090/S0002-9947-1963-0151534-0 |
| Reference:
|
[3] 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:
|
[4] L. Fuchs: Partially Ordered Algebraic Systems.Pergamon Press, Oxford, 1963. Zbl 0137.02001, MR 0171864 |
| Reference:
|
[5] G. Grätzer: On Boolean functions, (Notes on lattice theory II).Revue de Math. Pures et Appliquées 7 (1962), 693–697. MR 0177922 |
| Reference:
|
[6] G. Grätzer: Boolean functions on distributive lattices.Acta Math. Acad. Sci. Hungar. 15 (1964), 195–201. MR 0168499, 10.1007/BF01897037 |
| Reference:
|
[7] H. Hahn: Über die nichtarchimedischen Grössensysteme.Sitzungsberichte K. Akad. Wiss., Math. Nat. Kl. IIa, 116, 1907, pp. 601–655. |
| Reference:
|
[8] T. K. Hu: Characterization of algebraic functions in equational classes generated by independent primal algebras.Algebra Univ. 1 (1971), 187–191. Zbl 0242.08004, MR 0296000 |
| Reference:
|
[9] J. Jakubík: Affine completeness of complete lattice ordered groups.Czechoslovak Math. J. 45 (1995), 571–576. MR 1344522 |
| Reference:
|
[10] A. F. Pixley: Functional Affine Completeness and Arithmetical Varieties.Lecture Notes, Montréal, 1991. |
| Reference:
|
[11] M. Ploščica: Affine complete order of distributive lattices.Order 11 (1994), 385–390. MR 1321755, 10.1007/BF01108769 |
| Reference:
|
[12] D. Schweigert: Über endliche, ordnungspolynomvollständige Verbände.Monatshefte Math. 78 (1974), 68–76. Zbl 0287.06004, MR 0340124, 10.1007/BF01298196 |
| Reference:
|
[13] H. Werner: Produkte von Kongruenzklassengeometrien universeller Algebren.Math. Z. 121 (1971), 111–140. Zbl 0203.22902, MR 0281681, 10.1007/BF01113481 |
| . |
