Geodesic
Archimedean equivalence for strictly positive lattice-ordered semigroups
Czechoslovak Mathematical Journal, Tome 36 (1986) no. 1, pp. 18-27

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

DOI MR   Zbl

DOI : 10.21136/CMJ.1986.102060
Classification : 06F05, 20M10 
Anderson, Marlow. Archimedean equivalence for strictly positive lattice-ordered semigroups. Czechoslovak Mathematical Journal, Tome 36 (1986) no. 1, pp. 18-27. doi: 10.21136/CMJ.1986.102060
@article{10_21136_CMJ_1986_102060,
     author = {Anderson, Marlow},
     title = {Archimedean equivalence for strictly positive lattice-ordered semigroups},
     journal = {Czechoslovak Mathematical Journal},
     pages = {18--27},
     year = {1986},
     volume = {36},
     number = {1},
     doi = {10.21136/CMJ.1986.102060},
     mrnumber = {822861},
     zbl = {0601.06012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1986.102060/}
}
TY  - JOUR
AU  - Anderson, Marlow
TI  - Archimedean equivalence for strictly positive lattice-ordered semigroups
JO  - Czechoslovak Mathematical Journal
PY  - 1986
SP  - 18
EP  - 27
VL  - 36
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1986.102060/
DO  - 10.21136/CMJ.1986.102060
LA  - en
ID  - 10_21136_CMJ_1986_102060
ER  - 
%0 Journal Article
%A Anderson, Marlow
%T Archimedean equivalence for strictly positive lattice-ordered semigroups
%J Czechoslovak Mathematical Journal
%D 1986
%P 18-27
%V 36
%N 1
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1986.102060/
%R 10.21136/CMJ.1986.102060
%G en
%F 10_21136_CMJ_1986_102060

[1] M. Anderson: Classes of lattice-ordered semigroups describable in terms of chains. to appear.

[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. | MR | Zbl

[3] M. Anderson, C. C. Edwards: A representation theorem for distributive 1-monoids. Canad. Math. Bull., 27 (1984), 238-240. | DOI | MR

[4] A. Bigard K. Keimel, S. Wolfenstein: Groups et Anneaux Reticules. Springer-Verlag, Berlin, 1977. | MR

[5] A. H. Clifford, G. B. Preston: The Algebraic Theory of Semigroups. Volume II, AMS, Providence, 1967. | MR | Zbl

[6] P. Conrad: Archimedean extensions of lattice-ordered groups. J. Indian Math. Soc. 30 (1966), 131-160. | MR | Zbl

[7] P. Conrad J. Harvey, C. Holland: The Hahn embedding theorem for lattice-ordered groups. Trans. A.M.S. 108 (1963), 143-169. | DOI | MR

[8] L. Fuchs: Teilweise geordnete algebraische Strukturen. Akademiai Kiado, Budapest, 1966. | MR | Zbl

[9] H. Hahn: Über die nichtarchimedischen Grossensysteme. Sitz. ber. K. Akad. der Wiss., Math. Nat. Kl. IIa 116 (1907), 601-655.

[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.

[11] W. C. Holland: The lattice-ordered group of automorphisms of an ordered set. Michigan Math. J. 10 (1963), 399-408. | DOI | MR

[12] D. Khoun: Cardinal des groupes reticules. C. R. Acad. Sc. Paris 270 (1970) A1150-A1154.

[13] T. Merlier: Nildemi-groupes totalement ordonnes. Czech. Math. J. 24 (99) (1974), 403-410. | MR | Zbl

[14] T. Saito: Archimedean property in an ordered semigroup. J. Austral. Math. Soc. 8 (1968), 547-556. | DOI | MR | Zbl

[15] T. Saito: Archimedean classes in a nonnegatively ordered semigroup. J. Indian Math. Soc. 43 (1979), 79-104. | MR | Zbl

[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

Cité par Sources :