| Title:
|
Regular representations of semisimple MV-algebras by continuous real functions (English) |
| Author:
|
Jakubík, Ján |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
51 |
| Issue:
|
3 |
| Year:
|
2001 |
| Pages:
|
269-274 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06D35 |
| MSC:
|
06F15 |
| MSC:
|
54C30 |
| MSC:
|
54C40 |
| MSC:
|
54D30 |
| idZBL:
|
Zbl 0987.06010 |
| idMR:
|
MR1842314 |
| . |
| Date available:
|
2009-09-25T11:52:04Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136806 |
| . |
| Reference:
|
[1] BIRKHOFF G.: Lattice Theory.(Rev. ed.). Amer. Math. Soc. Colloq. Publ. 25, Amer. Math. Soc, New York, 1948. Zbl 0033.10103, MR 0029876 |
| Reference:
|
[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 1786097 |
| Reference:
|
[3] CONRAD P.: Lattice Ordered Groups.Math. Res. Library, Tulane University, New Orleans, 1970. Zbl 0258.06011 |
| Reference:
|
[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 1345639 |
| Reference:
|
[5] GLUSCHANKOV D.: Cyclic ordered groups and MV-algebras.Czechoslovak Math. J. 43 (1993), 249-263. MR 1211747 |
| Reference:
|
[6] JAKUBfK J.: On complete MV-algebras.Czechoslovak Math. J. 45 (1995), 473-480. MR 1344513 |
| Reference:
|
[7] JAKUBlK J.: On archimedean MV-algebras.Czechoslovak Math. J. 48 (1998), 575-582. MR 1637871 |
| Reference:
|
[8] JAKUBIK J.: Complete distributivity of lattice ordered groups and of vector lattices.Czechoslovak Math. J. (To appear). Zbl 0998.06013, MR 1864049 |
| Reference:
|
[9] MUNDICI D.: Interpretation of AFC* -algebras in Lukasiewicz sentential calculus.J. Funct. Anal. 65 (1986), 15-63. MR 0819173 |
| Reference:
|
[10] SIKORSKI R.: Boolean Algebras.(2nd ed.), Springer-Verlag, Berlin-Goettingen-Heidelberg-New York, 1964. Zbl 0123.01303 |
| Reference:
|
[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) |
| . |
