Previous |  Up |  Next

Article

References:
[B] Bergman, G.: Specially ordered Groups. Comm. Alg. 12 (1984), 2315–2333. DOI 10.1080/00927878408823111 | MR 0755918 | Zbl 0506.06006
[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 0849464
[BKW] Bigard, A.; Keimel, K.; Wolfenstein, S.: Groupes et Anneaux Réticulés. Springer, 1977. MR 0552653
[C] Conrad, P.: Torsion radicals of lattice-ordered groups. Symposia Math. 21 (1977), 479–513. MR 0465969 | Zbl 0372.06011
[CM] Conrad, P.; McAlister, D.: The completion of a lattice-ordered group. J. Austral. Math. Soc. 9 (1969), 182–209. DOI 10.1017/S1446788700005760 | MR 0249340
[D1] Darnel, M.: Special-valued $\ell $-groups and abelian covers. Order 4 (1987), 191–194. DOI 10.1007/BF00337696 | MR 0916494
[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 0750807 | Zbl 0545.06008
[Gu2] Gurchenkov, S. A.: Theory of varieties of lattice-ordered groups. Alg. i Logika 27(3) (1988), 249–273. MR 0997958 | Zbl 0679.20022
[GK] Gurchenkov, S. A.; Kopytov, V. M.: On covers of the variety of abelian lattice-ordered groups. Siber. Math. J. 28 (1987). MR 0904635
[H] Holland, W. C.: Varieties of $\ell $-groups are torsion classes. Czech. Math. J. 29(104), 11-12. MR 0518135
[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 0931613
[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 0784356
[Mc] McCleary, S. H.: The lateral completion of an arbitrary lattice-ordered group. Alg. Univ. 13 (1981), 251–263. DOI 10.1007/BF02483838 | MR 0631560 | Zbl 0427.06007
[M] Medvedev, N. Ya.: Lattices of varieties of lattice-ordered groups and Lie groups. Alg. i Logika 16 (1977), 40–45, 123. MR 0498317
[R1] Reilly, N. R.: Varieties of lattice ordered groups that contain no non-abelian $o$-groups are solvable. Order 3 (1986), 287–297. DOI 10.1007/BF00400292 | MR 0878925 | Zbl 0616.06016
[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 10.1090/S0002-9939-1975-0384644-7 | MR 0384644 | Zbl 0312.06010
[W] Weinberg, E.: Free lattice-ordered abelian groups, II. Math. Ann. 154 (1965), 217–222. DOI 10.1007/BF01362439 | MR 0181668 | Zbl 0138.26201
Partner of
EuDML logo