Keywords: Lattice ordered group; projectability; strong projectability; lateral completion; orthocompletion; Specker lattice ordered group
@article{CMJ_2005_55_4_a12,
author = {Jakub{\'\i}k, J\'an},
title = {Strong projectability of lattice ordered groups},
journal = {Czechoslovak Mathematical Journal},
pages = {957--973},
year = {2005},
volume = {55},
number = {4},
mrnumber = {2184377},
zbl = {1081.06023},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2005_55_4_a12/}
}
Jakubík, Ján. Strong projectability of lattice ordered groups. Czechoslovak Mathematical Journal, Tome 55 (2005) no. 4, pp. 957-973. http://geodesic.mathdoc.fr/item/CMJ_2005_55_4_a12/
[1] S. J. Bernau: The lateral completion of an arbitrary lattice group. J. Austral. Math. Soc. 19 (1975), 263–289. | DOI | MR | Zbl
[2] S. J. Bernau: Lateral and Dedekind completion of archimedean lattice groups. J. London Math. Soc. 12 (1976), 320–322. | DOI | MR | Zbl
[3] R. D. Bleier: The ${\mathrm SP}$-hull of a lattice-ordered group. Canadian J. Math. 26 (1974), 866–878. | DOI | MR
[4] R. D. Bleier: The orthocompletion of a lattice-ordered group. Indagationes Math. 38 (1976), 1–7. | DOI | MR | Zbl
[5] D. Byrd and T. J. Lloyd: A note on lateral completion in lattice ordered groups. J. London Math. Soc. 1 (1969), 358–362. | DOI | MR
[6] D. A. Chambless: Representation of the projectable and strongly projectable hulls of a lattice ordered group. Proc. Amer. Math. Soc. 19 (1975), 263–289. | MR
[7] P. F. Conrad: Lateral completion of lattice ordered groups. Proc. London Math. Soc. 19 (1969), 444–480. | DOI | MR
[8] P. F. Conrad: Lattice Ordered Groups. Tulane University, 1970. | Zbl
[9] P. F. Conrad: The hulls of representable $\ell $-groups and $f$-rings. J. Austral. Math. Soc. 16 (1973), 385–415. | DOI | MR
[10] P. F. Conrad: Epi-Archimedean $\ell $-groups. Czechoslovak Math. J. 24 (1974), 192–218. | MR
[11] P. F. Conrad and M. R. Darnel: Generalized Boolean algebras in lattice-ordered groups. Order 14 (1998), 295–319. | DOI | MR
[12] M. R. Darnel: The Theory of Lattice Ordered Groups. Marcel Dekker, New York-Basel, 1995. | MR
[13] J. Jakubík: Representations and extensions of $\ell $-groups. Czechoslovak Math. J. 13 (1963), 267–282. (Russian)
[14] J. Jakubík: Lateral and Dedekind completions of strongly projectable lattice ordered groups. Czechoslovak Math. J 47 (1997), 511–523. | DOI | MR
[15] J. Jakubík: Orthogonal hull of a strongly projectable lattice ordered group. Czechoslovak Math. J. 28 (1978), 484–504. | MR
[17] J. Jakubík: Torsion classes of Specker lattice ordered groups. Czechoslovak Math. J. 52 (2002), 469–482. | DOI | MR
[18] J. Jakubík: Konvexe Ketten in $\ell $-Gruppen. Čas. pěst. mat. 84 (1959), 53–63. | MR
[19] K. Keimel: Représentation de groupes et d’anneaux réticulés par des sections dans des faisceaux. PhD. Thesis, Université de Paris, 1970. | Zbl
[20] G. Ya. Rotkovich: On some kinds of completeness in archimedean lattice ordered groups. Funkc. anal. 9 (1977), 138–143. (Russian)
[21] R. Sikorski: Boolean Algebras. Second Edition, Springer-Verlag, Berlin, 1964. | MR | Zbl
[22] E. C. Smith Jr. and A. Tarski: Higher degrees of distributivity and completeness in Boolean algebras. Trans. Amer. Math. Soc. 84 (1957), 230–257. | DOI | MR