Geodesic
Cyclic extensions of the Medvedev ordered groups
Czechoslovak Mathematical Journal, Tome 43 (1993) no. 2, pp. 193-204
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

DOI : 10.21136/CMJ.1993.128399
Classification : 06F15, 20F60 
@article{10_21136_CMJ_1993_128399,
     author = {Darnel, Michael R.},
     title = {Cyclic extensions of the {Medvedev} ordered groups},
     journal = {Czechoslovak Mathematical Journal},
     pages = {193--204},
     year = {1993},
     volume = {43},
     number = {2},
     doi = {10.21136/CMJ.1993.128399},
     mrnumber = {1211742},
     zbl = {0790.06018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1993.128399/}
}
TY  - JOUR
AU  - Darnel, Michael R.
TI  - Cyclic extensions of the Medvedev ordered groups
JO  - Czechoslovak Mathematical Journal
PY  - 1993
SP  - 193
EP  - 204
VL  - 43
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1993.128399/
DO  - 10.21136/CMJ.1993.128399
LA  - en
ID  - 10_21136_CMJ_1993_128399
ER  - 
%0 Journal Article
%A Darnel, Michael R.
%T Cyclic extensions of the Medvedev ordered groups
%J Czechoslovak Mathematical Journal
%D 1993
%P 193-204
%V 43
%N 2
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1993.128399/
%R 10.21136/CMJ.1993.128399
%G en
%F 10_21136_CMJ_1993_128399
Darnel, Michael R. Cyclic extensions of the Medvedev ordered groups. Czechoslovak Mathematical Journal, Tome 43 (1993) no. 2, pp. 193-204. doi: 10.21136/CMJ.1993.128399

[B] Bergman, G.: Specially ordered Groups. Comm. Alg. 12 (1984), 2315–2333. | DOI | MR | Zbl

[BCD] Ball, R. N.; Conrad, P. F.; Darnel, M. R.: Above and below subgroups of a lattice-ordered group. Trans. Amer. Math. Soc. 259 (1980), 357–392. | MR

[BKW] Bigard, A.; Keimel, K.; Wolfenstein, S.: Groupes et Anneaux Réticulés. Springer, 1977. | MR

[C] Conrad, P.: Torsion radicals of lattice-ordered groups. Symposia Math. 21 (1977), 479–513. | MR | Zbl

[CM] Conrad, P.; McAlister, D.: The completion of a lattice-ordered group. J. Austral. Math. Soc. 9 (1969), 182–209. | DOI | MR

[D1] Darnel, M.: Special-valued $\ell $-groups and abelian covers. Order 4 (1987), 191–194. | DOI | MR

[D2] Darnel, M.: Metabelian ordered groups with the infinite shifting property. in preparation.

[Gu1] Gurchenkov, S. A.: Coverings in the lattice of $\ell $-varieties. Mat. Zametki 35 (1984), 677-684. | MR | Zbl

[Gu2] Gurchenkov, S. A.: Theory of varieties of lattice-ordered groups. Alg. i Logika 27(3) (1988), 249–273. | MR | Zbl

[GK] Gurchenkov, S. A.; Kopytov, V. M.: On covers of the variety of abelian lattice-ordered groups. Siber. Math. J. 28 (1987). | MR

[H] Holland, W. C.: Varieties of $\ell $-groups are torsion classes. Czech. Math. J. 29(104), 11-12. | MR

[HR] Holland, W. C.; Reilly, N. R.: Metabelian varieties of $\ell $-groups which contain no non-abelian $o$-groups. Alg. Univ. 24 (1989), 203–204. | MR

[Hu] Huss, M.: Varieties of lattice ordered groups, Ph.D. dissertation. Simon Fraser University, 1984.

[K] Kopytov, V. M.: Nonabelian varieties of lattice-ordered groups in which every solvable $\ell $-group is abelian. Mat. Sb. 126(168) (1985), 247–266, 287. | MR

[Mc] McCleary, S. H.: The lateral completion of an arbitrary lattice-ordered group. Alg. Univ. 13 (1981), 251–263. | DOI | MR | Zbl

[M] Medvedev, N. Ya.: Lattices of varieties of lattice-ordered groups and Lie groups. Alg. i Logika 16 (1977), 40–45, 123. | MR

[R1] Reilly, N. R.: Varieties of lattice ordered groups that contain no non-abelian $o$-groups are solvable. Order 3 (1986), 287–297. | DOI | MR | Zbl

[R2] Reilly, N. R.: personal communication to W. C. Holland.

[Sc] Scrimger, E. B.: A large class of small varieties of lattice-ordered groups. Proc. Amer. Math. Soc. 51 (1975), 301–306. | DOI | MR | Zbl

[W] Weinberg, E.: Free lattice-ordered abelian groups, II. Math. Ann. 154 (1965), 217–222. | DOI | MR | Zbl

Cité par Sources :