Geodesic
Direct product decompositions of pseudo $MV$-algebras
Archivum mathematicum, Tome 37 (2001) no. 2, pp. 131-142
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In this paper we deal with the relations between the direct product decompositions of a pseudo $MV$-algebra and the direct product decomposicitons of its underlying lattice.
In this paper we deal with the relations between the direct product decompositions of a pseudo $MV$-algebra and the direct product decomposicitons of its underlying lattice.
Classification : 03G25, 06D35
Keywords: pseudo $MV$-algebra; direct product decomposition 
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Jakubík, Ján. Direct product decompositions of pseudo $MV$-algebras. Archivum mathematicum, Tome 37 (2001) no. 2, pp. 131-142. http://geodesic.mathdoc.fr/item/ARM_2001_37_2_a4/

[1] Chajda, I., Halaš, R. and Rachůnek, J.: Ideals and congruences in generalized $MV$-algebras. Demonstratio Math. (to appear). | MR

[2] Cignoli, R., D’Ottaviano, M. I. and Mundici, D.: Algebraic Foundations of many-valued Reasoning, Trends in Logic, Studia Logica Library Vol. 7. Kluwer Academic Publishers, Dordrecht, 2000. | DOI | MR

[3] Dvurečenskij, A., Pulmannová, S.: New Trends in Quantum Structures. Kluwer Academic Publishers, Dordrecht-Boston-London and Ister Science, Bratislava, 2000. | MR

[4] Dvurečenskij, A.: Pseudo $MV$-algebras are intervals in $\ell $-groups. J. Austral. Math. Soc. (to appear).

[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, Bucharest, 6–9 May, Romania, 1999, pp. 961–968. | MR

[6] Georgescu, G., Iorgulescu, A.: Pseudo $MV$-algebras. Multiple-Valued Logic (a special issue dedicated to Gr. C. Moisil) 6 (2001), 95–135. | MR

[7] Hashimoto, J.: On direct product decompositions of partially ordered sets. Annals of Math. 54 (1951), 315–318. | DOI | MR

[8] Jakubík, J.: Direct products of $MV$-algebras. Czechoslovak Math. J. 44 (1994), 725–739.

[9] Jakubík, J.: Convex chains in a pseudo $MV$-algebra. Czechoslovak Math. J. (to appear). | MR

[10] Leustean, I.: Local pseudo $MV$-algebras. (submitted). | Zbl

[11] Rachůnek, J.: A non-commutative generalization of $MV$-algebras. Czechoslovak Math. J. (to appear). | MR

[12] Rachůnek, J.: Prime spectra of non-commutative generalizations of $MV$-algebras. (submitted).