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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:
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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)


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