| Title:
|
Archimedean equivalence for strictly positive lattice-ordered semigroups (English) |
| Author:
|
Anderson, Marlow |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
36 |
| Issue:
|
1 |
| Year:
|
1986 |
| Pages:
|
18-27 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06F05 |
| MSC:
|
20M10 |
| idZBL:
|
Zbl 0601.06012 |
| idMR:
|
MR822861 |
| DOI:
|
10.21136/CMJ.1986.102060 |
| . |
| Date available:
|
2008-06-09T15:08:12Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102060 |
| . |
| Reference:
|
[1] M. Anderson: Classes of lattice-ordered semigroups describable in terms of chains.to appear. |
| Reference:
|
[2] M. Anderson, C. С. Edwards: Lattice properties of the symmetric weakly inverse semigroup on a totally ordered set.J. Austral. Math. Soc. 23 (1981), 395-404. Zbl 0488.06010, MR 0638267 |
| Reference:
|
[3] M. Anderson, C. C. Edwards: A representation theorem for distributive 1-monoids.Canad. Math. Bull., 27 (1984), 238-240. MR 0740420, 10.4153/CMB-1984-034-6 |
| Reference:
|
[4] A. Bigard K. Keimel, S. Wolfenstein: Groups et Anneaux Reticules.Springer-Verlag, Berlin, 1977. MR 0552653 |
| Reference:
|
[5] A. H. Clifford, G. B. Preston: The Algebraic Theory of Semigroups.Volume II, AMS, Providence, 1967. Zbl 0178.01203, MR 0218472 |
| Reference:
|
[6] P. Conrad: Archimedean extensions of lattice-ordered groups.J. Indian Math. Soc. 30 (1966), 131-160. Zbl 0168.27702, MR 0224519 |
| Reference:
|
[7] P. Conrad J. Harvey, C. Holland: The Hahn embedding theorem for lattice-ordered groups.Trans. A.M.S. 108 (1963), 143-169. MR 0151534, 10.1090/S0002-9947-1963-0151534-0 |
| Reference:
|
[8] L. Fuchs: Teilweise geordnete algebraische Strukturen.Akademiai Kiado, Budapest, 1966. Zbl 0154.00708, MR 0204547 |
| Reference:
|
[9] H. Hahn: Über die nichtarchimedischen Grossensysteme.Sitz. ber. K. Akad. der Wiss., Math. Nat. Kl. IIa 116 (1907), 601-655. |
| Reference:
|
[10] O. Holder: Die Axiome der Quantitat und die Lehre vom Mass.Ber. Verh. Sachs. Ges. Wiss. Leipzig, Math.-Phys. Cl. 53 (1901), 1-64. |
| Reference:
|
[11] W. C. Holland: The lattice-ordered group of automorphisms of an ordered set.Michigan Math. J. 10 (1963), 399-408. MR 0158009, 10.1307/mmj/1028998976 |
| Reference:
|
[12] D. Khoun: Cardinal des groupes reticules.C. R. Acad. Sc. Paris 270 (1970) A1150-A1154. |
| Reference:
|
[13] T. Merlier: Nildemi-groupes totalement ordonnes.Czech. Math. J. 24 (99) (1974), 403-410. Zbl 0321.06014, MR 0347700 |
| Reference:
|
[14] T. Saito: Archimedean property in an ordered semigroup.J. Austral. Math. Soc. 8 (1968), 547-556. Zbl 0159.02803, MR 0230661, 10.1017/S1446788700006200 |
| Reference:
|
[15] T. Saito: Archimedean classes in a nonnegatively ordered semigroup.J. Indian Math. Soc. 43 (1979), 79-104. Zbl 0528.06016, MR 0682004 |
| Reference:
|
[16] T. Saito: Nonnegatively ordered semigroups in the strict sense and problems of Satyanarayana.I. Proc. 3rd Symposium on Semigroups (Inter-Univ. Sem. House of Kansai, Kobe, 1979), Osaka Univ., Osaka, 1980, 45-49. MR 0571699 |
| . |
