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Jakubík, Ján
Direct product decomposition of $MV$-algebras. (English). Czechoslovak Mathematical Journal, vol. 44 (1994), issue 4, pp. 725-739
MSC: 03B50, 03G25, 06D30, 06F15 | MR 1295146 | Zbl 0821.06011 | DOI: 10.21136/CMJ.1994.128490
References:
[1] L. P. Belluce: Semisimple algebras of infinite valued logic and bold fuzzy set theory. Canad. J. Math. 38 (1986), 1356–1379. DOI 10.4153/CJM-1986-069-0 | MR 0873417 | Zbl 0625.03009
[2] L. P. Belluce: Semi-simple and complete $MV$-algebras. Algebra Univ. 29 (1992), 1–9. DOI 10.1007/BF01190751 | MR 1145551 | Zbl 0756.06005
[3] G. Birkhoff: Lattice theory. Amer. Math. Soc. Colloquium Publ. Vol. 25, Third Edition, Providence, 1967. MR 0227053 | Zbl 0153.02501
[4] C. C. Chang: Algebraic analysis of many-valued logics. Trans. Amer. Math. Soc.88 (1958), 467–490. MR 0094302 | Zbl 0084.00704
[5] C. C. Chang: A new proof of the completeness of the Lukasiewicz axioms. Trans. Amer. Math. Soc. 89 (1959), 74–80. MR 0122718 | Zbl 0093.01104
[6] D. Gluschankof: Cyclic ordered groups and $MV$-algebras. Czechoslovak Math. J. 43 (1993), 249–263. MR 1211747 | Zbl 0795.06015
[7] C. Goffman: Remarks on lattice ordered groups and vector lattices. I. Carathéodory functions. Trans. Amer. Math. Soc.88 (1958), 107–120. MR 0097331 | Zbl 0088.02602
[8] J. Jakubík: Cardinal properties of lattice ordered groups. Fundam. Math.74 (1972), 85–98. DOI 10.4064/fm-74-2-85-98 | MR 0302528
[9] A. G. Kurosh: Group Theory, Third Edition. Moskva, 1967. (Russian)
[10] D. Mundici: Interpretation of $AFC^*$-algebras in Lukasiewicz sentential calculus. Journ. Functional. Anal.65 (1986), 15–63. DOI 10.1016/0022-1236(86)90015-7 | MR 0819173
[11] F. Šik: Über subdirekte Summen geordneter Gruppen. Czech. Math. J. 10 (85) (1960), 400–424. MR 0123626
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