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Title: On intervals and the dual of a pseudo MV-algebra (English)
Author: Jakubík, Ján
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 56
Issue: 2
Year: 2006
Pages: 213-221
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Category: math
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MSC: 06D35
idZBL: Zbl 1150.06013
idMR: MR2229342
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Date available: 2009-09-25T14:31:27Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/129979
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Reference: [1] CATTANEO G.-LOMBARDO F.: Independent axiomatization of MV-algebras.Tatra Mt. Math. Publ. 15 (1998), 227-232. Zbl 0939.03076, MR 1655091
Reference: [2] CHANG C. C.: Algebraic analysis of many valued logics.Trans. Amer. Math. Soc. 88 (1958), 467-490. Zbl 0084.00704, MR 0094302
Reference: [3] CIGNOLI R.-D'OTTAVIANO M. I.-MUNDICI D.: Algebraic Foundations of Many-Valued Reasoning.Kluwer Academic Publishers, Dordrecht, 2000. Zbl 0937.06009, MR 1786097
Reference: [4] DVUREČENSKIJ A.: Pseudo MV-algebras are intervals in l-groups.J. Aust. Math. Soc. 72 (2002), 427-445. MR 1902211
Reference: [5] GEORGESCU G.-IORGULESCU A.: Pseudo MV-algebras: a noncommutative extension of MV-algebras.In: The Proceedings of the Fourth International Symposium on Economic Informatics, INFOREC Printing House, Bucharest, 1999, pp. 961-968. Zbl 0985.06007, MR 1730100
Reference: [6] GEORGESCU G.-IORGULESCU A.: Pseudo MV-algebras.Mult.-Valued Log. (Special issue dedicated to Gr. C Moisil) 6 (2001), 95-135. Zbl 1014.06008, MR 1817439
Reference: [7] JAKUBÍK J.: Direct product decompositions of MV-algebras.Czechoslovak Math. J. 44 (1994), 725-739. MR 1295146
Reference: [8] JAKUBÍK J.: Direct product decompositions of pseudo MV-algebras.Arch. Math. (Brno) 37 (2001), 131-142. Zbl 1070.06003, MR 1838410
Reference: [9] JAKUBÍK J.: On intervals and isometries of MV-algebras.Czechoslovak Math. J. 52 (2002), 651-663. Zbl 1012.06013, MR 1923269
Reference: [10] MUNDICI D.: Interpretation of AFC* -algebras in Lukasiewicz sentential calculus.J. Funct. Anal. 65 (1986), 15-63. MR 0819173
Reference: [11] RACHŮNEK J.: A non-commutative generalization of MV-algebras.Czechoslovak Math. J. 52 (2002), 255-273. Zbl 1012.06012, MR 1905434
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