Geodesic
Affine completness of projectable lattice ordered groups
Czechoslovak Mathematical Journal, Tome 48 (1998) no. 2, pp. 359-363 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Jakubík, Ján; Csontóová, Mária. Affine completness of projectable lattice ordered groups. Czechoslovak Mathematical Journal, Tome 48 (1998) no. 2, pp. 359-363. http://geodesic.mathdoc.fr/item/CMJ_1998_48_2_a11/

[1] P. Conrad: Lattice Ordered Groups. Tulane University, 1970. | Zbl

[2] P. F. Conrad, J. Harvey, Ch. Holland: The Hahn embedding theorem for lattice-ordered groups. Trans. Amer. Math. Soc. 108 (1963), 143–169. | DOI | MR

[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

[4] L. Fuchs: Partially Ordered Algebraic Systems. Pergamon Press, Oxford, 1963. | MR | Zbl

[5] G. Grätzer: On Boolean functions, (Notes on lattice theory II). Revue de Math. Pures et Appliquées 7 (1962), 693–697. | MR

[6] G. Grätzer: Boolean functions on distributive lattices. Acta Math. Acad. Sci. Hungar. 15 (1964), 195–201. | DOI | MR

[7] H. Hahn: Über die nichtarchimedischen Grössensysteme. Sitzungsberichte K. Akad. Wiss., Math. Nat. Kl. IIa, 116, 1907, pp. 601–655.

[8] T. K. Hu: Characterization of algebraic functions in equational classes generated by independent primal algebras. Algebra Univ. 1 (1971), 187–191. | MR | Zbl

[9] J. Jakubík: Affine completeness of complete lattice ordered groups. Czechoslovak Math. J. 45 (1995), 571–576. | MR

[10] A. F. Pixley: Functional Affine Completeness and Arithmetical Varieties. Lecture Notes, Montréal, 1991.

[11] M. Ploščica: Affine complete order of distributive lattices. Order 11 (1994), 385–390. | DOI | MR

[12] D. Schweigert: Über endliche, ordnungspolynomvollständige Verbände. Monatshefte Math. 78 (1974), 68–76. | DOI | MR | Zbl

[13] H. Werner: Produkte von Kongruenzklassengeometrien universeller Algebren. Math. Z. 121 (1971), 111–140. | DOI | MR | Zbl