Geodesic
Convergence with a fixed regulator in Archimedean lattice ordered groups
Mathematica slovaca, Tome 56 (2006) no. 2, pp. 167-180
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Classification : 06F15, 20F60 
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     url = {http://geodesic.mathdoc.fr/item/MASLO_2006_56_2_a2/}
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Černák, Štefan. Convergence with a fixed regulator in Archimedean lattice ordered groups. Mathematica slovaca, Tome 56 (2006) no. 2, pp. 167-180. http://geodesic.mathdoc.fr/item/MASLO_2006_56_2_a2/

[1] ANDERSON M.-FEIL T.: Lattice Ordered Groups. Reidel Texts in Math. Sci., D. Reidel Publishing Company, Dordrecht, 1988. | MR | Zbl

[2] ČERNÁK Š.: On some types of maximal I-subgroups of a lattice ordered group. Math. Slovaca 28 (1978), 349-359. | MR

[3] ČERNÁK Š.-LIHOVÁ J.: Convergence with a regulator in lattice ordered groups. Tatra Mt. Math. Publ. 39 (2005), 35-45. | MR | Zbl

[4] CONRAD P.-McALISTER D.: The completion of a lattice ordered group. J. Austral. Math. Soc. 9 (1969), 182-208. | MR

[5] DARNEL M. R.: Theory of Lattice Ordered Groups. Monogr. Textbooks Pure Appl. Math. 187, Marcel Dekker, New York, NY, 1995. | MR | Zbl

[6] FUCHS L.: Partially Ordered Algebraic Systems. Pergamon Press, Oxford-London-New York-Paris, 1963. | MR | Zbl

[7] GLASS A. M. W.: Partially Ordered Groups. Ser. Algebra 7, World Scientific, Singapore, 1999. | MR | Zbl

[8] JAKUBÍK J.: Kernels of lattice ordered groups defined by properties of sequences. Časopis Pěst. Mat. 109 (1984), 290-298. | MR | Zbl

[9] LUXEMBURG M.-ZAANEN A.: Riesz Spaces. Vol. I. North-Holland Math. Library, Nord Holland Publ. Comp., Amsterdam-London, 1971. | MR | Zbl

[10] MARTINEZ J.: Polar functions. III: On irreducible maps vs. essential extensions of Archimedean l-groups with unit. Tatra Mt. Math. Publ. 27 (2003), 189-211. | MR

[11] VULIKH B. Z.: Introduction to the Theory of Partially Ordered Spaces. Wolters-Noordhoff Sci. Publ. Ltd., Groningen, 1967. | MR | Zbl