| Title:
|
Hyperarchimedische Teilbarkeitshalbgruppen (German) |
| Title:
|
Hyperarchimedian divisibility semigroups (English) |
| Author:
|
Bosbach, Bruno |
| Language:
|
German |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
39 |
| Issue:
|
3 |
| Year:
|
1989 |
| Pages:
|
528-543 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06A12 |
| MSC:
|
20M10 |
| idZBL:
|
Zbl 0687.06013 |
| idMR:
|
MR1006319 |
| DOI:
|
10.21136/CMJ.1989.102325 |
| . |
| Date available:
|
2008-06-09T15:28:46Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102325 |
| . |
| Reference:
|
[1] Amemiya I.: A general spectral theory in semi-ordered linear spaces.J. Fac. Sci. Hokka. Uni. 12 (1953), 111-156. Zbl 0053.25802, MR 0056853 |
| Reference:
|
[2] Baker K. A.: Topological methods in the algebraic theory of vector lattices.Thesis, Harvard University 1966. |
| Reference:
|
[3] Bigard A.: Groupes archimédiens aet hyper-archimédiens.Séminaire Dubreil-Pisot (1967 - 1968), No. 2. |
| Reference:
|
[4] Bigard A.: Contribution à la théorie des groupes réticulés.These sc. math., Paris 1969. MR 0250950 |
| Reference:
|
[5] Bigard A., Conrad P. F., Wolfenstein S.: Compactly generated lattice-ordered groups.Math. Z. (1968), 201-211. MR 0236083, 10.1007/BF01110258 |
| Reference:
|
[6] Bigard A., Keimel K., Wolfenstein S.: Groupes et Anneaux Réticulés.Springer. Berlin-Heidelberg-New York 1977. Zbl 0384.06022, MR 0552653 |
| Reference:
|
[7] Bosbach B.: Komplementäre Halbgruppen, Axiomatik und Arithmetik.Fund. Math. LXIV (1969), 257-287. Zbl 0183.30603, MR 0260902, 10.4064/fm-64-3-257-287 |
| Reference:
|
[8] Bosbach B.: Schwache Teilbarkeitshalbgruppen.Semig. For. 12 (1976), 119-135. Zbl 0366.06025, MR 0401946 |
| Reference:
|
[9] Bosbach B.: Zur Theorie der stetigen Teilbarkeitshalbgruppen.Semig. For. 20 (1980), 299-317. Zbl 0468.06006, MR 0583113 |
| Reference:
|
[10] Bosbach B.: Archimedische Teilbarkeitshalbgruppen und Quaderalgebren.Semig. For. 20 (1980), 319-334. Zbl 0468.06007, MR 0583114 |
| Reference:
|
[11] Bosbach B.: Zur Theorie der vollständigen Teilbarkeitshalbgruppen.Semig. For. 25 (1982), 111-124. Zbl 0495.06008, MR 0663172 |
| Reference:
|
[12] Bosbach B.: Lattice ordered binary systems.Act. Sc. Math. (to appear). Zbl 0667.06008, MR 0980278 |
| Reference:
|
[13] Clifford A. H.: Naturally totally ordered commutative semigroups.Amer. J. Math. 76 (1954), 631-646. MR 0062118, 10.2307/2372706 |
| Reference:
|
[14] Conrad P. F.: Epi-archimedean groups.Czech. Math. J. 24 (1974), 1-27. Zbl 0319.06009, MR 0347701 |
| Reference:
|
[15] Hölder O.: Die Axiome der Quantität und die Lehre vom Maß.Ber. Verh. Sächs. Ges. Wiss. Leipzig, Math.-Phys. Cl. 53 (1901), 1-64. |
| Reference:
|
[16] Luxemburg W., Moore L.: Archimedean quotient Riesz spaces.Duke Math. J. 34 (1967), 725-739. Zbl 0171.10501, MR 0217562, 10.1215/S0012-7094-67-03475-8 |
| Reference:
|
[17] Pedersen F.: Contribution to the theory of regular subgroups and prime subgroups of lattice-ordered groups.Dissertation, Tulane University 1967. |
| Reference:
|
[18] Wolfenstein S.: Representations d'une classe de groupes archimédiens.J. Alg. 42 (1976), 199-207. MR 0417016, 10.1016/0021-8693(76)90037-5 |
| Reference:
|
[19] Zannen A.: MR 651.Math. Reviews 36 (1968), 142-143. |
| . |
