References
N. Ya. Medvedev, “On the lattice of residually-o l-varieties,” Czechoslovak Math. J.,34, No. 1, 6–17 (1984).
M. Anderson, M. R. Darnel, and T. Feil, “A variety of lattice-ordered groups containing all representable covers of the abelian variety,” Order,7, No. 4, 401–405 (1991).
J. Martinez, “Varieties of lattice-ordered groups, Math. Z.,137, No. 4, 265–284 (1974).
E. C. Weinberg, “Free lattice-ordered abelian groups,” Math. Ann.,151, No. 3, 187–199 (1963).
N. Ya. Medvedev, Varieties of Lattice-Ordered Groups, [in Russian], Altaîsk. Univ., Barnaul (1987).
N. Ya. Medvedev, “To the theory of varieties ofl-groups,” Czechoslovak Math. J.,32, No. 3, 364–372 (1982).
A. I. Kokorin and V. M. Kopytov, Linearly Ordered Groups [in Russian], Nauka, Moscow (1972).
L. Fuchs, Partially Ordered Algebraic Systems [Russian translation], Mir, Moscow (1965).
M. I. Kargapolov and Yu. I. Merzlyakov, Fundamentals of the Theory of Groups [in Russian], Nauka, Moscow (1972).
A. G. Kurosh, The Theory of Groups [in Russian], Nauka, Moscow (1967).
V. M. Kopytov and N. Ya. Medvedev, The Theory of Lattice-Ordered Groups, Kluwer Academic Publishers, Dordrecht, Boston, and London (1994).
Additional information
Barnaul. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 38, No. 1, pp. 151–160, January–February, 1997.
Translated by K. M. Umbetova
Rights and permissions
About this article
Cite this article
Molochko, S.V., Morozova, S.V. On the theory of varieties of lattice-ordered groups. Sib Math J 38, 127–135 (1997). https://doi.org/10.1007/BF02674908
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02674908