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On a cancellation rule for subdirect products of lattice ordered groups and of $\operatorname {GMV}$-algebras
Mathematica slovaca, Tome 57 (2007) no. 3, pp. 201-210
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Classification : 06D35, 06F15 
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Jakubík, Ján. On a cancellation rule for subdirect products of lattice ordered groups and of $\operatorname {GMV}$-algebras. Mathematica slovaca, Tome 57 (2007) no. 3, pp. 201-210. http://geodesic.mathdoc.fr/item/MASLO_2007_57_3_a0/

[1] APPLESON R. R.-LOVÁSZ L.: A characterization of cancellable k-ary structures. Period. Math. Hungar. 6 (1975), 17-19. | MR | Zbl

[2] BIRKHOFF G.: Lattice Theory. (Зrd ed.) Amer. Math. Soc, Providence, RI, 1967. | MR | Zbl

[3] CIGNOLI R. L. O.-D'OTTAVIANO I. M. L.-MUNDICI D.: Algebraic Foundations of Many-valued Reasoning. Kluwer Acad. PubL, Dordrecht, 2000. | MR | Zbl

[4] DVUREČENSKIJ A.: Pseudo MV-algebras are intervals of i-groups. J. Austral. Math. Soc. 72 (2002), 427-445. | MR

[5] DVUREČENSKIJ A.-PULMANNOVÁ S.: New Trends in Quantum Structures. Kluwer Acad. PubL, Dordrecht, 2000. | MR | Zbl

[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. | MR | Zbl

[7] GEORGESCU G.-IORGULESCU A.: Pseudo MV-algebras. Mult.-Valued Log. 6 (2001), 95-135. | MR | Zbl

[8] JAKUBÍK J.: Subdirect product decompositions of MV-algebras. Czechoslovak Math. J. 49 (1999), 163-173. | MR | Zbl

[9] JAKUBÍK J.: Isomorphisms of direct products of lattice ordered groups. Discuss. Math. Gen. Algebra Appl. 24 (2004), 43-52. | MR | Zbl

[10] JAKUBÍK J.: Banaschewski's theorem for generalized MV-algebras. (To appear). | Zbl

[11] JAKUBÍK J.-CSONTÓOVÁ M.: Convex isomorphism of directed multilattices. Math. Bohem. 118 (1993), 359-379. | MR

[12] JAKUBÍK J.-CSONTÓOVÁ M.: Cancellation rule for internal direct product decompositions of connected partially ordered sets. Math. Bohem. 125 (2000), 115-122. | MR

[13] JAKUBÍK J.-LIHOVÁ J.: On the cancellation rule for disconnected partially ordered sets. Math. Slovaca 54 (2004), 215-223. | MR

[14] JAKUBÍKOVÁ-STUDENOVSKÁ D.: On a cancellation law for monounary algebras. Math. Bohem. 128 (2003), 79-90. | MR | Zbl

[15] MCKENZIE R.: Cardinal multiplication of structures with a reflexive relation. Fund. Math. 70 (1971), 59-101. | MR | Zbl

[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

[17] LOVÁSZ L.: On the cancellation law among finite relational structures. Period. Math Hungar. 1 (1979), 145-156. | MR

[18] PLOŠCICA M.-ZELINA M.: Cancellation among finite unary algebras. Discrеtе Math 159 (1996), 191-198. | MR | Zbl

[19] RACHŮNEK J.: A non-commutative generalizatгon of MV-algebras. Czechoslovak Math. J. 52 (2002), 255-273.