This is a preview of subscription content, log in via an institution to check access.
References
D. Bredikhin and B. Schein, “Representation of ordered semigroups and lattices by binary relations,” Colloq. Math.,39, 1–12 (1978).
B. Sivak, “Representation of finite lattices by orders on finite sets,” Math. Slovaca,28, No. 2, 203–215 (1978).
K. V. Adaricheva and V. A. Gorbunov, “On lower bounded lattices,” Algebra Universalis (to appear).
G. Grätzer, General Lattice Theory [Russian translation], Mir, Moscow (1982).
R. Freese, J. Jezek, and J. B. Nation, Free Lattices, AMS, Providence, Rhode Island (1995).
A. Day, “Characterization of finite lattices that are bounded-homomorphic images or sublattices of free lattices,” Canad. J. Math.,31, No. 1, 69–78 (1979).
K. V. Adaricheva, W. Dziobiak, and V. A. Gorbunov, “Finite atomistic lattices that can be represented as lattices of quasivarieties,” Fund. Math.,142, 19–43 (1993).
K. V. Adaricheva and V. A. Gorbunov, “Equational closure operator and forbidden semidistributive lattices,” Sibirsk. Mat. Zh.,30, No. 6, 7–25 (1989).
K. V. Adaricheva, V. A. Gorbunov, and W. Dziobiak, “Algebraic atomistic lattices of quasivarieties,” Algebra i Logika,36, No. 4, 363–386 (1997).
V. A. Gorbunov and V. I. Tumanov, “A class of lattices of quasivarieties,” Algebra i Logika,19, No. 1, 59–80 (1980).
Additional information
The research was supported by the Committee of Higher Education of the Russian Federation (a grant of 1998), the Russian Foundation for Basic Research (Grant 96-01-01525), and DFG (Grant 436 113/2670).
Novosibirsk. Translated fromSibirskiį Matematicheskiį Zhurnal, Vol. 40, No. 3, pp. 673–682, May–June, 1999.
Rights and permissions
About this article
Cite this article
Semënova, M.V. Lattices of suborders. Sib Math J 40, 577–584 (1999). https://doi.org/10.1007/BF02679765
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02679765