Geodesic
Lateral and Dedekind completions of strongly projectable lattice ordered groups
Czechoslovak Mathematical Journal, Tome 47 (1997) no. 3, pp. 511-523 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 06F15, 20F60 
@article{CMJ_1997_47_3_a11,
     author = {Jakub{\'\i}k, J\'an},
     title = {Lateral and {Dedekind} completions of strongly projectable lattice ordered groups},
     journal = {Czechoslovak Mathematical Journal},
     pages = {511--523},
     year = {1997},
     volume = {47},
     number = {3},
     mrnumber = {1461430},
     zbl = {0897.06019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_1997_47_3_a11/}
}
TY  - JOUR
AU  - Jakubík, Ján
TI  - Lateral and Dedekind completions of strongly projectable lattice ordered groups
JO  - Czechoslovak Mathematical Journal
PY  - 1997
SP  - 511
EP  - 523
VL  - 47
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/CMJ_1997_47_3_a11/
LA  - en
ID  - CMJ_1997_47_3_a11
ER  - 
%0 Journal Article
%A Jakubík, Ján
%T Lateral and Dedekind completions of strongly projectable lattice ordered groups
%J Czechoslovak Mathematical Journal
%D 1997
%P 511-523
%V 47
%N 3
%U http://geodesic.mathdoc.fr/item/CMJ_1997_47_3_a11/
%G en
%F CMJ_1997_47_3_a11
Jakubík, Ján. Lateral and Dedekind completions of strongly projectable lattice ordered groups. Czechoslovak Mathematical Journal, Tome 47 (1997) no. 3, pp. 511-523. http://geodesic.mathdoc.fr/item/CMJ_1997_47_3_a11/

[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] 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

[4] P. F. Conrad: Lateral completion of lattice ordered groups. Proc. London Math. Soc. 19 (1969), 444–480. | MR

[5] P. F. Conrad: The essential closure of an archimedean lattice group. Duke Math. J. 38 (1971), 151–160. | MR

[6] C. J. Everett: Sequence completion of lattice moduls. Duke Math. J. 11 (1944), 109–119. | DOI | MR | Zbl

[7] L. Fuchs: Partially ordered algebraic systems. Pergamon Press, Oxford-London-New York-Paris, 1963. | MR | Zbl

[8] J. Jakubík: Representations and extensions of $\ell $-groups. Czechoslovak Math. J. 13 (1963), 267–283. (Russian)

[9] J. Jakubík: Orthogonal hull of a strongly projectable lattice ordered group. Czechoslovak Math. J. 28 (1978), 484–504. | MR

[10] J. Jakubík: Maximal Dedekind completion of an abelian lattice ordered group. Czechoslovak Math. J. 28 (1978), 611–631. | MR

[11] H. Nakano: Modern spectral theory. Tokyo, 1950. | MR | Zbl

[12] A. G. Pinsker: Extended semiordered groups and spaces. Uchen. zapiski Leningrad. Gos. Ped. Inst. 86 (1949), 236–365. (Russian)