| Title:
|
Convergent regular measures on MV–algebras (English) |
| Author:
|
Barbieri, Giuseppina |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
45 |
| Issue:
|
6 |
| Year:
|
2009 |
| Pages:
|
1052-1058 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We obtain for measures on MV-algebras the classical theorem of Dieudonné related to convergent sequences of regular maps. (English) |
| Keyword:
|
MV-algebras |
| Keyword:
|
measures |
| Keyword:
|
Dieudonné theorem |
| Keyword:
|
convergence |
| Keyword:
|
regular maps |
| MSC:
|
06D35 |
| MSC:
|
28E10 |
| idZBL:
|
Zbl 1190.28009 |
| idMR:
|
MR2650083 |
| . |
| Date available:
|
2010-06-02T19:36:13Z |
| Last updated:
|
2013-09-21 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140024 |
| . |
| Reference:
|
[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 1954632 |
| Reference:
|
[2] J. K. Brooks: On a theorem of Dieudonné.Adv. in Math. 36 (1980), 2, 165–168. Zbl 0441.28006, MR 0574646 |
| Reference:
|
[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 1219750 |
| Reference:
|
[4] P. de Lucia and E. Pap: Cafiero approach to the Dieudonné type theorems.J. Math. Anal. Appl. 337 (2008), 2, 1151–1157. MR 2386364 |
| Reference:
|
[5] J. Dieudonné: Sur la convergence des suites de mesures de Radon (in French).Anais Acad. Brasil. Ci. 23 (1951), 21–38. MR 0042496 |
| Reference:
|
[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 1861369 |
| Reference:
|
[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 1550217 |
| Reference:
|
[8] H. Weber: On modular functions.Funct. Approx., Comment. Math. 24 (1996), 35–52. Zbl 0887.06011, MR 1453447 |
| . |
