Abstract
We prove that every doubly quasiordered set embeds isomorphically in the double skeleton of the variety of all lattices.
Similar content being viewed by others
References
Pinus A. G., “Embeddability and epimorphism relations on congruence-distribution varieties,” Algebra i Logika, 24, No. 5, 588-607 (1985).
Bonnet R., “Very strongly rigid Boolean algebras, continuum discrete set condition, countable antichain condition. I,” Algebra Universalis, 11, No. 3, 341-364 (1980).
Freese R., Jezek J., and Nation J. B., Free Lattices, Amer. Math. Soc., Providence, RI (1995).
Jonsson B., “Congruence distributive varieties,” Math. Japon., 42, No. 2, 353-401 (1995).
Pinus A. G. and Mordvinov Ya. L., “On skeletons of varieties of lattices,” in: Algebra and Model Theory. Vol. 2 [in Russian], NGTU, Novosibirsk, 1999, pp. 111-118.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Pinus, A.G., Mordvinov, Y.L. On Independence of the Relations of Epimorphy and Embeddability on the Variety of All Lattices. Siberian Mathematical Journal 43, 350–352 (2002). https://doi.org/10.1023/A:1014753307451
Issue Date:
DOI: https://doi.org/10.1023/A:1014753307451