Geodesic
On free $MV$-algebras
Czechoslovak Mathematical Journal, Tome 53 (2003) no. 2, pp. 311-317
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In the present paper we show that free $MV$-algebras can be constructed by applying free abelian lattice ordered groups.
In the present paper we show that free $MV$-algebras can be constructed by applying free abelian lattice ordered groups.
Classification : 03G20, 06D35, 06F20
Keywords: $MV$-algebra; abelian lattice ordered group; free generators 
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Jakubík, Ján. On free $MV$-algebras. Czechoslovak Mathematical Journal, Tome 53 (2003) no. 2, pp. 311-317. http://geodesic.mathdoc.fr/item/CMJ_2003_53_2_a7/

[1] G. Birkhoff: Lattice Theory. Providence, 1967. | MR | Zbl

[2] R.  Cignoli, I 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. | MR

[3] P.  Conrad: Lattice Ordered Groups. Tulane University, 1970. | Zbl

[4] D.  Gluschankof: Cyclic ordered groups and $MV$-algebras. Czechoslovak Math.  J. 43 (1993), 249–263. | MR | Zbl

[5] J.  Jakubík: Direct product decompositions of $MV$-algebras. Czechoslovak Math.  J. 44 (1994), 725–739.

[6] R.  McNaughton: A theorem about infinite valued sentential logic. J.  Symbolic Logic 16 (1951), 1–13. | DOI | MR | Zbl

[7] D.  Mundici: Interpretation of $AFC^*$-algebras in Łukasiewicz sentential calculus. J. Funct. Anal. 65 (1986), 15–63. | DOI | MR

[8] E. C.  Weinberg: Free lattice ordered abelian groups. Math. Ann. 151 (1963), 187–199. | DOI | MR | Zbl

[9] E. C.  Weinberg: Free lattice ordered abelian groups,  II. Math. Ann. 159 (1965), 217–222. | DOI | MR | Zbl