@article{10_21136_CMJ_1995_128540,
author = {Conrad, Paul and Martinez, Jorge},
title = {On adjoining units to hyper-archimedean $l$-groups},
journal = {Czechoslovak Mathematical Journal},
pages = {503--516},
year = {1995},
volume = {45},
number = {3},
doi = {10.21136/CMJ.1995.128540},
mrnumber = {1344517},
zbl = {0842.06013},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1995.128540/}
}
TY - JOUR AU - Conrad, Paul AU - Martinez, Jorge TI - On adjoining units to hyper-archimedean $l$-groups JO - Czechoslovak Mathematical Journal PY - 1995 SP - 503 EP - 516 VL - 45 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1995.128540/ DO - 10.21136/CMJ.1995.128540 LA - en ID - 10_21136_CMJ_1995_128540 ER -
%0 Journal Article %A Conrad, Paul %A Martinez, Jorge %T On adjoining units to hyper-archimedean $l$-groups %J Czechoslovak Mathematical Journal %D 1995 %P 503-516 %V 45 %N 3 %U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1995.128540/ %R 10.21136/CMJ.1995.128540 %G en %F 10_21136_CMJ_1995_128540
Conrad, Paul; Martinez, Jorge. On adjoining units to hyper-archimedean $l$-groups. Czechoslovak Mathematical Journal, Tome 45 (1995) no. 3, pp. 503-516. doi: 10.21136/CMJ.1995.128540
[AF] M. Anderson, T. Feil: Lattice Ordered Groups. Reidel Publ. Co., Dordrecht, 1988. | MR
[Be] S. J. Bernau: The lateral completion of arbitrary lattice-ordered groups. Jour. Austral. Math. Soc. 19 (1975), 263–289. | DOI | MR
[BKW] A. Bigard, K. Keimel, S. Wolfenstein: Groupes et Anneaux Réticulès. Lecture Notes in Math. 608, Springer Verlag, Berlin-Heidelberg-New York, 1977. | MR
[BiD] J. P. Bixler, M. Darnel: Special-valued $l$-groups. Alg. Univ. 22 (1986), 230–239. | DOI | MR
[C1] P. Conrad: A characterization of lattice-ordered groups by their convex $l$-subgroups. Jour. Austral. Math. Soc. 7 (1967), 145–159, MP 35:5371. | DOI | MR | Zbl
[C2] P. Conrad: The lateral completion of a lattice-ordered group. Proc. London Math. Soc. 19 (1969), 444–480. | DOI | MR | Zbl
[C3] P. Conrad: The essential closure of an archimedean lattice-ordered group. Duke Math. Jour. 38 (1971), 151–160. | MR | Zbl
[C4] P. Conrad: Epi-archimedean groups. Czech. Math. Jour. 24 (1974), 1–27. | MR | Zbl
[CHH] P. Conrad, J. Harvey, W. C. Holland: The Hahn embedding theorem for abelian lattice-ordered groups. Trans. AMS 108 (1963), 143–169. | DOI | MR
[CM1] P. Conrad, J. Martinez: Complemented lattice-ordered groups. Indag. Math. (New Series) 1 (1990), no. 3, 281–297. | DOI | MR
[CM2] P. Conrad, J. Martinez: Settling a number of questions about hyper-archimedean lattice-ordered groups. Proc. AMS 109 (June 1990), no. 2, 291–296. | MR
[CM3] P. Conrad, J. Martinez: Complementing lattice-ordered groups: the projectable case. Order 7 (1990), 183–203. | DOI | MR
[CM4] P. Conrad, J. Martinez: Very large subgroups of a lattice-ordered group. Comm. in Alg. 18 (1990), no. 7, 2063–2098. | DOI | MR
[CM5] P. Conrad, J. Martinez: Signatures and $S$-discrete lattice-ordered groups. Alg. Univ (to appear). | MR
[M1] J. Martinez: The hyper-archimedean kernel sequence of a lattice-ordered group. Bull. Austral. Math. Soc. 10 (1974), 337–350. | DOI | MR | Zbl
[M2] J. Martinez: The closed subgroup problem for lattice-ordered group. Archiv der Math. 54 (1990), 212–224. | DOI | MR
[Š] F. Šik: Zur Theorie der Halbgeordneete Gruppen. Czech. Math. Jour. 10 (1960), 400–424.
Cité par Sources :