Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
Jakubík, Ján. Direct product decomposition of $MV$-algebras. Czechoslovak Mathematical Journal, Tome 44 (1994) no. 4, pp. 725-739. doi: 10.21136/CMJ.1994.128490
@article{10_21136_CMJ_1994_128490,
author = {Jakub{\'\i}k, J\'an},
title = {Direct product decomposition of $MV$-algebras},
journal = {Czechoslovak Mathematical Journal},
pages = {725--739},
year = {1994},
volume = {44},
number = {4},
doi = {10.21136/CMJ.1994.128490},
mrnumber = {1295146},
zbl = {0821.06011},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1994.128490/}
}
TY - JOUR AU - Jakubík, Ján TI - Direct product decomposition of $MV$-algebras JO - Czechoslovak Mathematical Journal PY - 1994 SP - 725 EP - 739 VL - 44 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1994.128490/ DO - 10.21136/CMJ.1994.128490 LA - en ID - 10_21136_CMJ_1994_128490 ER -
[1] L. P. Belluce: Semisimple algebras of infinite valued logic and bold fuzzy set theory. Canad. J. Math. 38 (1986), 1356–1379. | DOI | MR | Zbl
[2] L. P. Belluce: Semi-simple and complete $MV$-algebras. Algebra Univ. 29 (1992), 1–9. | DOI | MR | Zbl
[3] G. Birkhoff: Lattice theory. Amer. Math. Soc. Colloquium Publ. Vol. 25, Third Edition, Providence, 1967. | MR | Zbl
[4] C. C. Chang: Algebraic analysis of many-valued logics. Trans. Amer. Math. Soc.88 (1958), 467–490. | MR | Zbl
[5] C. C. Chang: A new proof of the completeness of the Lukasiewicz axioms. Trans. Amer. Math. Soc. 89 (1959), 74–80. | MR | Zbl
[6] D. Gluschankof: Cyclic ordered groups and $MV$-algebras. Czechoslovak Math. J. 43 (1993), 249–263. | MR | Zbl
[7] C. Goffman: Remarks on lattice ordered groups and vector lattices. I. Carathéodory functions. Trans. Amer. Math. Soc.88 (1958), 107–120. | MR | Zbl
[8] J. Jakubík: Cardinal properties of lattice ordered groups. Fundam. Math.74 (1972), 85–98. | DOI | MR
[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 | MR
[11] F. Šik: Über subdirekte Summen geordneter Gruppen. Czech. Math. J. 10 (85) (1960), 400–424. | MR
Cité par Sources :