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 |
. |
Category:
|
math |
. |
MSC:
|
06D35 |
MSC:
|
06F15 |
MSC:
|
81P10 |
idZBL:
|
Zbl 1113.06007 |
idMR:
|
MR2181779 |
. |
Date available:
|
2009-09-25T14:27:24Z |
Last updated:
|
2012-08-01 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/131410 |
. |
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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