References
G. Birkhoff: Lattice Theory, 3rd ed. AMS Providence, RI, 1967.
C. C. Chang: Algebraic analysis of many-valued logics. Trans. Amer. Math. Soc. 88 (1958), 467–490.
C. C. Chang: A new proof of the completeness of the Lukasiewicz axioms. Trans. Amer. Math. Soc. 93 (1959), 74–80.
R. Cignoli: Free lattice-ordered abelian groups and varieties of MV-algebras. Proc. IX Latin Amer. Symp. Math. Logic, Part 1, Not. Log. Mat. 38. 1993, pp. 113–118.
D. Gluschankof: Cyclic ordered groups and MV-algebras. Czechoslovak Math. J. 43(118) (1993), 249–263.
J. Jakubík: On complete MV-algebras. Czechoslovak Math. J. 45(120) (1995), 473–480.
K. L. N. Swamy: Dually residuated lattice ordered semigroups. Math. Ann. 159 (1965), 105–114.
K. L. N. Swamy: Dually residuated lattice ordered semigroups III. Math. Ann. 167 (1966), 71–74.
K. L. N. Swamy and N. P. Rao: Ideals in autometrized algebras. J. Austral. Math. Soc. 24 (Ser. A) (1977), 362–374.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Rachůnek, J. DRl-semigroups and MV-algebras. Czechoslovak Mathematical Journal 48, 365–372 (1998). https://doi.org/10.1023/A:1022801907138
Issue Date:
DOI: https://doi.org/10.1023/A:1022801907138