Geodesic
Sequential convergences on $MV$-algebras
Czechoslovak Mathematical Journal, Tome 45 (1995) no. 4, pp. 709-726
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DOI : 10.21136/CMJ.1995.128552
Classification : 03G25, 06D30, 06D99, 06F20, 06F30 
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Jakubík, Ján. Sequential convergences on $MV$-algebras. Czechoslovak Mathematical Journal, Tome 45 (1995) no. 4, pp. 709-726. doi: 10.21136/CMJ.1995.128552

[1] G. Birkhoff: Lattice theory, Amer. Math. Soc. Colloquium Publ. Vol. 25, Third Edition. Providence, 1967. | MR

[2] C. C. Chang: Algebraic analysis of many-valued logics. Trans. Amer. Math. Soc. 88 (1958), 467–490. | DOI | MR | Zbl

[3] C. C. Chang: A new proof of the completeness of the Lukasiewicz axioms. Trans. Amer. Math. Soc. 83 (1959), 74–80. | MR | Zbl

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

[5] M. Harminc: The cardinality of the system of all sequential convergences on an abelian lattice ordered group. Czech. Math. J. 37 (1987), 533–546. | MR

[6] M. Harminc: Sequential convergences on lattice ordered groups. Czech. Math. J. 39 (1989), 232–238. | MR

[7] J. Jakubík: Distributivity in lattice ordered groups. Czech. Math. J. 22 (1972), 108–125. | MR

[8] J. Jakubík: Convergences and complete distributivity of lattice ordered groups. Math. Slov. 38 (1988), 269–272. | MR

[9] J. Jakubík: Sequential convergences in Boolean algebras. Czech. Math. J. 38 (1988), 520–530. | MR

[10] J. Jakubík: Lattice ordered groups having a largest convergence. Czech. Math. J. 39 (1989), 717–729. | MR

[11] J. Jakubík: Convergences and higher degrees of distributivity of lattice ordered groups and of Boolean algebras. Czech. Math. J. 40 (1990), 453–458. | MR

[12] J. Jakubík: Sequential convergences in lattices. Math. Bohemica 117 (1992), 239–250. | MR

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

[14] D. Mundici: Interpretation of $AFC^*$-algebras in Lukasiewicz sentential calculus. Journ. Functional. Anal. 65 (1986), 15–63. | DOI | MR

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