Radical classes of $MV$-algebras
Czechoslovak Mathematical Journal, Tome 49 (1999) no. 1, pp. 191-211 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 06D35, 06F15, 06F20
@article{CMJ_1999_49_1_a18,
     author = {Jakub{\'\i}k, J\'an},
     title = {Radical classes of $MV$-algebras},
     journal = {Czechoslovak Mathematical Journal},
     pages = {191--211},
     year = {1999},
     volume = {49},
     number = {1},
     mrnumber = {1676805},
     zbl = {0953.06012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_1999_49_1_a18/}
}
TY  - JOUR
AU  - Jakubík, Ján
TI  - Radical classes of $MV$-algebras
JO  - Czechoslovak Mathematical Journal
PY  - 1999
SP  - 191
EP  - 211
VL  - 49
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/CMJ_1999_49_1_a18/
LA  - en
ID  - CMJ_1999_49_1_a18
ER  - 
%0 Journal Article
%A Jakubík, Ján
%T Radical classes of $MV$-algebras
%J Czechoslovak Mathematical Journal
%D 1999
%P 191-211
%V 49
%N 1
%U http://geodesic.mathdoc.fr/item/CMJ_1999_49_1_a18/
%G en
%F CMJ_1999_49_1_a18
Jakubík, Ján. Radical classes of $MV$-algebras. Czechoslovak Mathematical Journal, Tome 49 (1999) no. 1, pp. 191-211. http://geodesic.mathdoc.fr/item/CMJ_1999_49_1_a18/

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

[2] R. Cignoli: Complete and atomic algebras of the infinite valued Łukasiewicz logic. Studia Logica 50 (1991), 375–384. | DOI | MR | Zbl

[3] P. Conrad: $K$-radical classes of lattice ordered groups. Proc. Conf. Carbondale, Lecture Notes Math. 848, 1981, pp. 186–207. | MR | Zbl

[4] M. Darnel: Closure operations on radicals of lattice ordered groups. Czechoslovak Math. J. 37(112) (1987), 51–64. | MR

[5] D. Gluschankof: Cyclic ordered groups and $MV$-algebras. Czechoslovak Math. J. 43(118) (1993), 249–263. | MR | Zbl

[6] J. Jakubík: Radical mappings and radical classes of lattice ordered groups. Symposia Math. 21, Academic Press, New York-London, 1977, pp. 451–477. | MR

[7] J. Jakubík: Products of radical classes of lattice ordered groups. Acta Math. Univ. Comenianae 39 (1980), 31–41. | MR

[8] J. Jakubík: On $K$-radicals of lattice ordered groups. Czechoslovak Math. J. 33(108) (1983), 149–163. | MR

[9] J. Jakubík: Direct product decompositions of $MV$-algebras. Czechoslovak Math. J. 44(119) (1994), 725–739. | MR

[10] J. Jakubík: On complete $MV$-algebras. Czechoslovak Math. J. 45(120) (1995), 473–480. | MR

[11] J. Jakubík: On archimedean $MV$-algebras. Czechoslovak Math. J. 48(123) (1998), 575–582. | DOI | MR

[12] J. Jakubík: Radical classes of generalized Boolean algebras. Czechoslovak Math. J. 48(123) (1998), 253–268. | DOI | MR

[13] N. Ya. Medvedev: On the lattice of radicals of a finitely generated $\ell $-group. Math. Slovaca 33 (1983), 185–188. (Russian) | MR

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

[15] Dao-Rong Ton: Product radical classes of $\ell $-groups. Czechoslovak Math. J. 43(108) (1992), 129–142. | MR