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Title: Direct product decompositions of pseudo effect algebras (English)
Author: Jakubík, Ján
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 55
Issue: 4
Year: 2005
Pages: 379-398
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Category: math
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MSC: 06D35
MSC: 06F15
MSC: 81P10
idZBL: Zbl 1113.06007
idMR: MR2181779
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Date available: 2009-09-25T14:27:24Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/131410
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Reference: [1] CIGNOLI R.-D'OTTAVIANO M. L-MUNDICI D.: Algebraic Foundations of Many-Valued Reasoning.Trends Log. Stud. Log. Libr. 7, Kluwer Academic Publishers, Dordrecht, 2000. MR 1786097
Reference: [2] DVUREČENSKIJ A.-VETTERLEIN T.: Pseudoeffect algebras I. Basic properties.Internat. J. Theoret. Phys. 40 (2001), 685-701. Zbl 0994.81008, MR 1831592
Reference: [3] DVUREČENSKIJ A.: Pseudoeffect algebras II. Group representations.Internat. J. Theoret. Phys. 40 (2001), 703-726. Zbl 0994.81009, MR 1831593
Reference: [4] DVUREČENSKIJ A.-VETTERLEIN T.: Infinitary lattice and Riesz properties of pseudoeffect algebras and po-groups.J. Aust. Math. Soc. 75 (2003), 295-311. Zbl 1044.06008, MR 2015319
Reference: [5] GEORGESCU G.-ЮRGULESCU A.: Pseudo MV-algebras: a noncommutative extension of MV -algebras.In: The Proceedings of the Fourth International Symposium on Economic Informatics, Bucharest, 6-9 May, Romania, 1999, pp. 961-968. Zbl 0985.06007, MR 1730100
Reference: [6] GEORGESCU G.-IORGULESCU A.: Pseudo MV-algebras.Mult.-Valued Log. 6 (2001), 95-135. Zbl 1014.06008, MR 1817439
Reference: [7] HASHIMOTO J.: On direct product decompositions of partially ordered sets.Ann. of Math. (2) 54 (1951), 315-318. MR 0043067
Reference: [8] JAKUBÍK J.: Direct product decompositions of partially ordered groups.Czechoslovak Math. J. 10 (1960), 231-243. (Russian)
Reference: [9] JAKUBÍK J. : Direct product decompositions of partially ordered groups II.Czechoslovak Math. J. 11 (1961), 490-515. (Russian) MR 0137776
Reference: [10] JAKUBIK J.: Direct product decompositions of MV -algebras.Czechoslovak Math. J. 44 (1994), 725-739.
Reference: [11] JAKUBÍK J.: Direct product decompositions of pseudo MV-algebras.Arch. Math. (Brno) 37 (2001), 131-142. Zbl 1070.06003, MR 1838410
Reference: [12] KUROSH A. G.: Group Theory.(Зrd ed.), Nauka, Moskva, 1967. (Russian) Zbl 0189.30801
Reference: [13] RACHŮNEK J.: A non-commutative generalization of MV-algebras.Czechoslovak Math. J. 52 (2002), 255-273. Zbl 1012.06012, MR 1905434
Reference: [14] SHIMBIREVA E. P.: To the theory of partially ordered groups.Mat. Sb. 20 (1947), 145-178. (Russian) MR 0020558
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