On chains in M V -algebras

Ján Jakubík

Mathematica Slovaca (2001)

  • Volume: 51, Issue: 2, page 151-166
  • ISSN: 0139-9918

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Jakubík, Ján. "On chains in $MV$-algebras." Mathematica Slovaca 51.2 (2001): 151-166. <http://eudml.org/doc/34533>.

@article{Jakubík2001,
author = {Jakubík, Ján},
journal = {Mathematica Slovaca},
keywords = {MV-algebra; complete distributivity; maximal chain},
language = {eng},
number = {2},
pages = {151-166},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On chains in $MV$-algebras},
url = {http://eudml.org/doc/34533},
volume = {51},
year = {2001},
}

TY - JOUR
AU - Jakubík, Ján
TI - On chains in $MV$-algebras
JO - Mathematica Slovaca
PY - 2001
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 51
IS - 2
SP - 151
EP - 166
LA - eng
KW - MV-algebra; complete distributivity; maximal chain
UR - http://eudml.org/doc/34533
ER -

References

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  1. CHANG C. C., Algebraic analysis of many-valued logics, Trans. Amer. Мath. Soc. 88 (1958), 467-490. (1958) Zbl0084.00704MR0094302
  2. CHANG C. C., A new proof of the completeness of the Lukasiewicz axioms, Trans. Amer. Math. Soc. 89 (1959), 74-80. (1959) Zbl0093.01104MR0122718
  3. CIGNOLI R., Complete and atomic algebras of the infinite valued Lukasiewicz logic, Studia Logica 50 (1991), 375-384. (1991) Zbl0753.03026MR1170180
  4. CIGNOLI R.-D'OTTAVIANO I. M. I.-MUNDICI D., Algebraic Foundations of Many-Valued Reasoning, Trends in Logic, Vol. 7, Kluwer Academic Publishers, Dordrecht, 2000. Zbl0937.06009MR1786097
  5. GLUSCHANKOF D., Cyclic ordered groups and MV-algebras, Czechoslovak Math. J. 43 (1993), 249-263. (1993) Zbl0795.06015MR1211747
  6. GRIGOLIA R., Algebraic analysis of n-valued logical systems, In: Selected Papers on Lukasiewicz Sentential Calculi (R. Wójcicki, G. Malinowski, eds.), Polish Acad. of Sciences, Ossolineum, Wroclaw, 1977, pp. 81-92. (1977) MR0439560
  7. JAKUBÍK J., On the Jordan-Dedekind chain condition, Acta Sci. Math. 16 (1955), 266-269. (1955) Zbl0065.26602MR0077502
  8. JAKUBIK J., Remark on the Jordan-Dedekind condition in Boolean algebras, Časopis Pěst. Mat. 82 (1957), 44-46. (Slovak) (1957) MR0088475
  9. JAKUBÍK J., On chains in Boolean algebras, Mat.-Fyz. Časopis SAV 8 (1958), 193-202. (Slovak) (1958) 
  10. JAKUBÍK J., Konvexe Ketten in ℓ -Gruppen, Časopis Pěst. Mat. 83 (1958), 53-63. (1958) MR0104740
  11. JAKUBÍK J., Direct product decompositions of MV-algebras, Czechoslovak Math. J. 44 (1994), 725-739. (1994) MR0137776
  12. JAKUBÍK J., On complete MV-algebras, Czechoslovak Math. J. 45 (1995), 473-480. (1995) Zbl0841.06010MR1344513
  13. JAKUBÍK J., On archimedean MV-algebras, Czechoslovak Math. J. 48 (1998), 575-582. (1998) Zbl0951.06011MR1637871
  14. MUNDICI D., Interpretation of AFC* -algebras in Lukasiewicz sentential calculus, J. Funct. Anal. 65 (1986), 15-63. (1986) MR0819173
  15. SZÁSZ G., Generalization of a theorem of Birkhoff concerning maximal chains of a certain type of lattices, Acta Sci. Math. 16 (1955), 89-91. (1955) Zbl0064.02904MR0071398
  16. WAJSBERG M., Beiträge zum Metaaussagenkalkül I, Monatsh. Math. Phys. 42 (1935), 221-242. (1935) Zbl0013.09701MR1550430

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