Keywords: MV-algebras; measures; Dieudonné theorem; convergence; regular maps
@article{KYB_2009_45_6_a12,
author = {Barbieri, Giuseppina},
title = {Convergent regular measures on {MV{\textendash}algebras}},
journal = {Kybernetika},
pages = {1052--1058},
year = {2009},
volume = {45},
number = {6},
mrnumber = {2650083},
zbl = {1190.28009},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KYB_2009_45_6_a12/}
}
Barbieri, Giuseppina. Convergent regular measures on MV–algebras. Kybernetika, Tome 45 (2009) no. 6, pp. 1052-1058. http://geodesic.mathdoc.fr/item/KYB_2009_45_6_a12/
[1] G. Barbieri and H. Weber: Measures on clans and on MV-algebras. In: Handbook of Measure Theory, North-Holland, Amsterdam 2002, pp. 911–945. | MR
[2] J. K. Brooks: On a theorem of Dieudonné. Adv. in Math. 36 (1980), 2, 165–168. | MR | Zbl
[3] D. Butnariu and E. P. Klement: Triangular norms and some applications to measure and game theory. In: Fuzzy Approach to Reasoning and Decision-Making (Bechyně, 1990), pp. 89–105; Theory Decis. Lib. Ser. D System Theory, Knowledge Engineering and Problem Solving, 8, Kluwer Academic Publishers, Dordrecht 1992. | MR
[4] P. de Lucia and E. Pap: Cafiero approach to the Dieudonné type theorems. J. Math. Anal. Appl. 337 (2008), 2, 1151–1157. | MR
[5] J. Dieudonné: Sur la convergence des suites de mesures de Radon (in French). Anais Acad. Brasil. Ci. 23 (1951), 21–38. | MR
[6] A. Dvurečenskij and S. Pulmannová: New trends in quantum structures. (Mathematics and its Applications 516.) Kluwer Academic Publishers, Dordrecht; Ister Science, Bratislava 2000. | MR
[7] O. Nikodým: Sur les suites convergentes de fonctions parfaitement additives d’ensemble abstrait (in French). Monatsh. Math. Phys. 40 (1933), 1, 427–432. | MR
[8] H. Weber: On modular functions. Funct. Approx., Comment. Math. 24 (1996), 35–52. | MR | Zbl