Abstract
In this paper we investigate the relation between the lattice of varieties of pseudo MV-algebras and the lattice of varieties of lattice ordered groups.
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References
R. Cignoli, M. I. D'Ottaviano and D. Mundici: Algebraic Foundations of many-valued Reasoning. Trends in Logic, Studia Logica Library, Vol. 7, Kluwer Academic Publishers, Dordrecht, 2000.
A. Dvure£enskij: Pseudo MV-algebras are intervals in `-groups. J. Austral. Math. Soc. (Ser. A) 72 (2002), 427–445.
A. Dvure£enskij: States on pseudo MV-algebras. Studia Logica. To appear.
G. Georgescu and A. Iorgulescu: Pseudo MV-algebras: a noncommutative extension of MV-algebras. In: The Proceedings of the Fourth International Symposium on Economic Informatics, Buchurest, Romania. 1999, pp. 961–968.
G. Georgescu and A. Iorgulescu: Pseudo MV-algebras. Multiple-Valued Logic (a special issue dedicated to Gr. C. Moisil) 6 (2001), 95–135.
J. JakubÌk: Subdirect product decompositions of MV-algebras. Czechoslovak Math. J. 49 (1999), 163–173.
J. JakubÌk: Direct product decompositions of pseudo MV-algebras. Arch. Math. 37 (2001), 131–142.
J. Rachůunek: A non-commutative generalization of MV-algebras. Czechoslovak Math. J. 52 (2002), 255–273.
J. Rachůunek: Prime spectra of non-commutative generalizations of MV-algebras. (Sub-mitted).
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Jakubík, J. On Varieties of Pseudo MV-Algebras. Czech Math J 53, 1031–1040 (2003). https://doi.org/10.1023/B:CMAJ.0000024539.80076.24
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DOI: https://doi.org/10.1023/B:CMAJ.0000024539.80076.24