Article
Keywords:
$MV$-algebra; abelian lattice ordered group; free generators
Summary:
In the present paper we show that free $MV$-algebras can be constructed by applying free abelian lattice ordered groups.
References:
[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 1786097
[3] P. Conrad:
Lattice Ordered Groups. Tulane University, 1970.
Zbl 0258.06011
[4] D. Gluschankof:
Cyclic ordered groups and $MV$-algebras. Czechoslovak Math. J. 43 (1993), 249–263.
MR 1211747 |
Zbl 0795.06015
[5] J. Jakubík: Direct product decompositions of $MV$-algebras. Czechoslovak Math. J. 44 (1994), 725–739.