| Title:
|
On a cancellation rule for subdirect products of lattice ordered groups and of $\operatorname {GMV}$-algebras (English) |
| Author:
|
Jakubík, Ján |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
57 |
| Issue:
|
3 |
| Year:
|
2007 |
| Pages:
|
[201]-210 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06D35 |
| MSC:
|
06F15 |
| idZBL:
|
Zbl 1150.06022 |
| idMR:
|
MR2357818 |
| . |
| Date available:
|
2009-09-25T14:37:45Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136948 |
| . |
| Reference:
|
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| Reference:
|
[2] BIRKHOFF G.: Lattice Theory.(Зrd ed.) Amer. Math. Soc, Providence, RI, 1967. Zbl 0153.02501, MR 0227053 |
| Reference:
|
[3] CIGNOLI R. L. O.-D'OTTAVIANO I. M. L.-MUNDICI D.: Algebraic Foundations of Many-valued Reasoning.Kluwer Acad. PubL, Dordrecht, 2000. Zbl 0937.06009, MR 1786097 |
| Reference:
|
[4] DVUREČENSKIJ A.: Pseudo MV-algebras are intervals of i-groups.J. Austral. Math. Soc. 72 (2002), 427-445. MR 1902211 |
| Reference:
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[5] DVUREČENSKIJ A.-PULMANNOVÁ S.: New Trends in Quantum Structures.Kluwer Acad. PubL, Dordrecht, 2000. Zbl 0987.81005, MR 1861369 |
| Reference:
|
[6] GEORGESCU G.-IORGULESCU A.: Pseudo MV-algebras: a noncommutative extension of MV-algebras.In: The Proceedings of the Fourth International Sупiposium on Economic Informatics, INFOREC, Bucharest, 6 9 Maу, Romania, 1999, pp. 961-968. Zbl 0985.06007, MR 1730100 |
| Reference:
|
[7] GEORGESCU G.-IORGULESCU A.: Pseudo MV-algebras.Mult.-Valued Log. 6 (2001), 95-135. Zbl 1014.06008, MR 1817439 |
| Reference:
|
[8] JAKUBÍK J.: Subdirect product decompositions of MV-algebras.Czechoslovak Math. J. 49 (1999), 163-173. Zbl 0951.06012, MR 1676813 |
| Reference:
|
[9] JAKUBÍK J.: Isomorphisms of direct products of lattice ordered groups.Discuss. Math. Gen. Algebra Appl. 24 (2004), 43-52. Zbl 1068.06017, MR 2117674 |
| Reference:
|
[10] JAKUBÍK J.: Banaschewski's theorem for generalized MV-algebras.(To appear). Zbl 1174.06318 |
| Reference:
|
[11] JAKUBÍK J.-CSONTÓOVÁ M.: Convex isomorphism of directed multilattices.Math. Bohem. 118 (1993), 359-379. MR 1251882 |
| Reference:
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[12] JAKUBÍK J.-CSONTÓOVÁ M.: Cancellation rule for internal direct product decompositions of connected partially ordered sets.Math. Bohem. 125 (2000), 115-122. MR 1752083 |
| Reference:
|
[13] JAKUBÍK J.-LIHOVÁ J.: On the cancellation rule for disconnected partially ordered sets.Math. Slovaca 54 (2004), 215-223. MR 2076357 |
| Reference:
|
[14] JAKUBÍKOVÁ-STUDENOVSKÁ D.: On a cancellation law for monounary algebras.Math. Bohem. 128 (2003), 79-90. Zbl 1014.08006, MR 1974547 |
| Reference:
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[15] MCKENZIE R.: Cardinal multiplication of structures with a reflexive relation.Fund. Math. 70 (1971), 59-101. Zbl 0228.08002, MR 0280430 |
| Reference:
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[16] McKENZIE R.-McNULTY G.-TAYLOR W.: Algebras, Lattices, Varieties, Vol. 1.Wadsworth & Brooks/Cole Math. Ser., Wadsworth & Brooks/Cole Advance B oks & Softwarе, Montеrey, California, 1987. MR 0883644 |
| Reference:
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[17] LOVÁSZ L.: On the cancellation law among finite relational structures.Period. Math Hungar. 1 (1979), 145-156. MR 0284391 |
| Reference:
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[18] PLOŠCICA M.-ZELINA M.: Cancellation among finite unary algebras.Discrеtе Math 159 (1996), 191-198. Zbl 0859.08003, MR 1415293 |
| Reference:
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[19] RACHŮNEK J.: A non-commutative generalizatгon of MV-algebras.Czechoslovak Math. J. 52 (2002), 255-273. |
| . |
