Geodesic
Regular representations of semisimple MV-algebras by continuous real functions
Mathematica slovaca, Tome 51 (2001) no. 3, pp. 269-274
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 06D35, 06F15, 54C30, 54C40, 54D30 
@article{MASLO_2001_51_3_a2,
     author = {Jakub{\'\i}k, J\'an},
     title = {Regular representations of semisimple {MV-algebras} by continuous real functions},
     journal = {Mathematica slovaca},
     pages = {269--274},
     year = {2001},
     volume = {51},
     number = {3},
     mrnumber = {1842314},
     zbl = {0987.06010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MASLO_2001_51_3_a2/}
}
TY  - JOUR
AU  - Jakubík, Ján
TI  - Regular representations of semisimple MV-algebras by continuous real functions
JO  - Mathematica slovaca
PY  - 2001
SP  - 269
EP  - 274
VL  - 51
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/MASLO_2001_51_3_a2/
LA  - en
ID  - MASLO_2001_51_3_a2
ER  - 
%0 Journal Article
%A Jakubík, Ján
%T Regular representations of semisimple MV-algebras by continuous real functions
%J Mathematica slovaca
%D 2001
%P 269-274
%V 51
%N 3
%U http://geodesic.mathdoc.fr/item/MASLO_2001_51_3_a2/
%G en
%F MASLO_2001_51_3_a2
Jakubík, Ján. Regular representations of semisimple MV-algebras by continuous real functions. Mathematica slovaca, Tome 51 (2001) no. 3, pp. 269-274. http://geodesic.mathdoc.fr/item/MASLO_2001_51_3_a2/

[1] BIRKHOFF G.: Lattice Theory. (Rev. ed.). Amer. Math. Soc. Colloq. Publ. 25, Amer. Math. Soc, New York, 1948. | MR | Zbl

[2] CIGNOLI R.-D'OTTAVIANO I. M. L-MUNDICI D.: Algebraic Foundations of Many-Valued Reasoning. Trends in Logic. Studia Logica Library Vol. 7, Kluwer Academic Publishers, Dordrecht, 2000. | MR

[3] CONRAD P.: Lattice Ordered Groups. Math. Res. Library, Tulane University, New Orleans, 1970. | Zbl

[4] DI NOLA A.-SESSA S.: On MV-algebras of continuous functions. In: Non-classical Logics and Their Application to Fuzzy Subsets (U. Hohle, E. P. Klement, eds.), Kluwer Academic Publishers, Dordrecht, 1996, pp. 22-31. | MR

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

[6] JAKUBfK J.: On complete MV-algebras. Czechoslovak Math. J. 45 (1995), 473-480. | MR

[7] JAKUBlK J.: On archimedean MV-algebras. Czechoslovak Math. J. 48 (1998), 575-582. | MR

[8] JAKUBIK J.: Complete distributivity of lattice ordered groups and of vector lattices. Czechoslovak Math. J. (To appear). | MR | Zbl

[9] MUNDICI D.: Interpretation of AFC* -algebras in Lukasiewicz sentential calculus. J. Funct. Anal. 65 (1986), 15-63. | MR

[10] SIKORSKI R.: Boolean Algebras. (2nd ed.), Springer-Verlag, Berlin-Goettingen-Heidelberg-New York, 1964. | Zbl

[11] VULIKH B. Z.: Introduction to the Theory of Semiordered Spaces. Gos. Izd. Fiz.-Mat. Lit., Moskva, 1961 [English translation: Introduction to the Theory of Partially Ordered Spaces, Groningen, 1967]. (Russian)