On a cancellation rule for subdirect products of lattice ordered groups and of GMV -algebras

Ján Jakubík

Mathematica Slovaca (2007)

  • Volume: 57, Issue: 3, page [201]-210
  • ISSN: 0139-9918

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Jakubík, Ján. "On a cancellation rule for subdirect products of lattice ordered groups and of $\operatorname{GMV}$-algebras." Mathematica Slovaca 57.3 (2007): [201]-210. <http://eudml.org/doc/34640>.

@article{Jakubík2007,
author = {Jakubík, Ján},
journal = {Mathematica Slovaca},
keywords = {lattice-ordered group; -algebra; subdirect product; cancellation rule},
language = {eng},
number = {3},
pages = {[201]-210},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On a cancellation rule for subdirect products of lattice ordered groups and of $\operatorname\{GMV\}$-algebras},
url = {http://eudml.org/doc/34640},
volume = {57},
year = {2007},
}

TY - JOUR
AU - Jakubík, Ján
TI - On a cancellation rule for subdirect products of lattice ordered groups and of $\operatorname{GMV}$-algebras
JO - Mathematica Slovaca
PY - 2007
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 57
IS - 3
SP - [201]
EP - 210
LA - eng
KW - lattice-ordered group; -algebra; subdirect product; cancellation rule
UR - http://eudml.org/doc/34640
ER -

References

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  2. BIRKHOFF G., Lattice Theory, (Зrd ed.) Amer. Math. Soc, Providence, RI, 1967. (1967) Zbl0153.02501MR0227053
  3. CIGNOLI R. L. O.-D'OTTAVIANO I. M. L.-MUNDICI D., Algebraic Foundations of Many-valued Reasoning, Kluwer Acad. PubL, Dordrecht, 2000. Zbl0937.06009MR1786097
  4. DVUREČENSKIJ A., Pseudo MV-algebras are intervals of i-groups, J. Austral. Math. Soc. 72 (2002), 427-445. MR1902211
  5. DVUREČENSKIJ A.-PULMANNOVÁ S., New Trends in Quantum Structures, Kluwer Acad. PubL, Dordrecht, 2000. Zbl0987.81005MR1861369
  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. (1999) Zbl0985.06007MR1730100
  7. GEORGESCU G.-IORGULESCU A., Pseudo MV-algebras, Mult.-Valued Log. 6 (2001), 95-135. Zbl1014.06008MR1817439
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  9. JAKUBÍK J., Isomorphisms of direct products of lattice ordered groups, Discuss. Math. Gen. Algebra Appl. 24 (2004), 43-52. Zbl1068.06017MR2117674
  10. JAKUBÍK J., Banaschewski's theorem for generalized MV-algebras, (To appear). Zbl1174.06318
  11. JAKUBÍK J.-CSONTÓOVÁ M., Convex isomorphism of directed multilattices, Math. Bohem. 118 (1993), 359-379. (1993) MR1251882
  12. JAKUBÍK J.-CSONTÓOVÁ M., Cancellation rule for internal direct product decompositions of connected partially ordered sets, Math. Bohem. 125 (2000), 115-122. MR1752083
  13. JAKUBÍK J.-LIHOVÁ J., On the cancellation rule for disconnected partially ordered sets, Math. Slovaca 54 (2004), 215-223. MR2076357
  14. JAKUBÍKOVÁ-STUDENOVSKÁ D., On a cancellation law for monounary algebras, Math. Bohem. 128 (2003), 79-90. Zbl1014.08006MR1974547
  15. MCKENZIE R., Cardinal multiplication of structures with a reflexive relation, Fund. Math. 70 (1971), 59-101. (1971) Zbl0228.08002MR0280430
  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. (1987) MR0883644
  17. LOVÁSZ L., On the cancellation law among finite relational structures, Period. Math Hungar. 1 (1979), 145-156. (1979) MR0284391
  18. PLOŠCICA M.-ZELINA M., Cancellation among finite unary algebras, Discrеtе Math 159 (1996), 191-198. (1996) Zbl0859.08003MR1415293
  19. RACHŮNEK J., A non-commutative generalizatгon of MV-algebras, Czechoslovak Math. J. 52 (2002), 255-273. 

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