Strong subdirect products of MV-algebras

Ján Jakubík

Mathematica Slovaca (2001)

  • Volume: 51, Issue: 5, page 507-520
  • ISSN: 0139-9918

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Jakubík, Ján. "Strong subdirect products of MV-algebras." Mathematica Slovaca 51.5 (2001): 507-520. <http://eudml.org/doc/31614>.

@article{Jakubík2001,
author = {Jakubík, Ján},
journal = {Mathematica Slovaca},
keywords = {MV-algebra; Dedekind completion; strong subdirect product},
language = {eng},
number = {5},
pages = {507-520},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Strong subdirect products of MV-algebras},
url = {http://eudml.org/doc/31614},
volume = {51},
year = {2001},
}

TY - JOUR
AU - Jakubík, Ján
TI - Strong subdirect products of MV-algebras
JO - Mathematica Slovaca
PY - 2001
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 51
IS - 5
SP - 507
EP - 520
LA - eng
KW - MV-algebra; Dedekind completion; strong subdirect product
UR - http://eudml.org/doc/31614
ER -

References

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  1. CATTANEO G.-LOMBARDO F., Independent axiomatization of M V -algebras, Tatra Mt. Math. PuЫ. 15 (1998), 227 -232. (1998) Zbl0939.03076MR1655091
  2. CIGNOLI R.-DOTTAVIANO M. I.-MUNDICI D., Algebraic Foundations of Many-Valued Reasoning, Trends in Logic, Studia Logica Librarу Vol. 7, Kluwer Academic Publishers, Dordrеcht, 2000. Zbl0937.06009MR1786097
  3. DVUREČENSKIJ A.-PULMANNOVÁ S., New Trends in Quantum Structures, Kluwеr Acadеmic Publishers, Dordrеcht, 2000. Zbl0987.81005MR1861369
  4. GLUSCHANKOV D., Cyclic ordered groups and M V -algebras, Czechoslovak Math. J. 43 (1993), 249-263. (1993) MR1211747
  5. HÖHLE U., Commutative residuated ℓ -monoids, In: Non-classical Logic and their Represеntation to Fuzzy Subsеts Vol. 32 (U. Höhlе, E. P. Klеment, еds.), Kluwеr Acadеmic Publ., Dordrеcht, pp. 53-106. 
  6. ISKANDER A. A., Strict refinement for direct sums and graphs, Acta Math. Univ. Comenian. 68 (1999), 91-110. (1999) Zbl0921.05057MR1711078
  7. JAKUBIK J., Direct product decompositions of M V -algebras, Czechoslovak Math. J. 44 (1994), 725-739. (1994) MR1295146
  8. JAKUBIK J., Basic elements in a pseudo M V -algebra, Soft Computing 5 (2001), 372-375. Zbl1001.06008
  9. JAKUBIK J.-CSONTOOVA M., Cancellation rule for internal direct product decompositions of a connected partially ordered set, Math. Bohemica 125 (2000), 115-122. Zbl0967.06001MR1752083
  10. SCHMIDT J., Zur Kennzeichnung der Dedekind-MacNeilleschnen Hulle einer geordneten Menge, Arch. Math. (Basel) 7 (1956), 241-249. (1956) MR0084484

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