References
R. Balbes: Projective and injective distributive lattices. Pacific J. Math 31 (1967), 405–420.
R. N. Ball: The distinguished completion of a lattice ordered group. In: Algebra Carbondale 1980, Lecture Notes Math. 848. Springer Verlag, 1980, pp. 208–217.
R. N. Ball: Distributive Cauchy lattices. Algebra Univ. 18 (1984), 134–174.
R. N. Ball: Completions of ℓ-groups. In: Lattice ordered groups, A. M. W. Glass and W. C. Holland, editors. Kluwer, Dordrecht-Boston-London, 1989, Chapter 7, 142–177.
R. N. Ball: Distinguished extensions of a lattice ordered group. Algebra Univ. 35 (1996), 85–112.
G. Birkhoff: Lattice Theory. Revised Edition, New York, 1948.
D. Gluschankof: Cyclic ordered groups and MV-algebras. Czechoslovak Math. J. 43 (1993), 249–263.
J. Jakubík: Direct product decompositions of MV-algebras. Czechoslovak Math. J. 44 (1994), 725–739.
D. Mundici: Interpretation of AFC *-algebras in Lukasziewicz sentential calculus. J. Functional Anal. 65 (1986), 15–53.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Jakubík, J. Distinguished extensions of an MV-algebra. Czechoslovak Mathematical Journal 49, 867–876 (1999). https://doi.org/10.1023/A:1022469521480
Issue Date:
DOI: https://doi.org/10.1023/A:1022469521480