On complete M V -algebras

Ján Jakubík

Czechoslovak Mathematical Journal (1995)

  • Volume: 45, Issue: 3, page 473-480
  • ISSN: 0011-4642

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Jakubík, Ján. "On complete $MV$-algebras." Czechoslovak Mathematical Journal 45.3 (1995): 473-480. <http://eudml.org/doc/31482>.

@article{Jakubík1995,
author = {Jakubík, Ján},
journal = {Czechoslovak Mathematical Journal},
keywords = {Wajsberg algebra; -atom; complete -algebra},
language = {eng},
number = {3},
pages = {473-480},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On complete $MV$-algebras},
url = {http://eudml.org/doc/31482},
volume = {45},
year = {1995},
}

TY - JOUR
AU - Jakubík, Ján
TI - On complete $MV$-algebras
JO - Czechoslovak Mathematical Journal
PY - 1995
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 45
IS - 3
SP - 473
EP - 480
LA - eng
KW - Wajsberg algebra; -atom; complete -algebra
UR - http://eudml.org/doc/31482
ER -

References

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  1. 10.1090/S0002-9947-1958-0094302-9, Trans. Amer. Math. Soc. 88 (1958), 467–490. (1958) Zbl0084.00704MR0094302DOI10.1090/S0002-9947-1958-0094302-9
  2. A new proof of the completeness of the Łukasiewicz axioms, Trans. Amer. Math. Soc. 93 (1959), 74–80. (1959) Zbl0093.01104MR0122718
  3. 10.1007/BF00370678, Studia Logica 50 (1991), 3–4375–384. (1991) Zbl0753.03026MR1170180DOI10.1007/BF00370678
  4. Partially ordered algebraic systems, Pergamon Press, Oxford, 1963. (1963) Zbl0137.02001MR0171864
  5. Cyclic ordered groups and M V -algebras, Czechoslov. Math. J. 43 (1993), 249–263. (1993) Zbl0795.06015MR1211747
  6. Direct product decompositions of M V -algebras, Czechoslov. Math. J (to appear). (to appear) 
  7. 10.1016/0022-1236(86)90015-7, Jour. Functional. Anal. 65 (1986), 15–63. (1986) MR0819173DOI10.1016/0022-1236(86)90015-7
  8. M V -algebras are categorically equivalent to bounded commutative B C K -algebras, Math. Japonica 31 (1986), 889–894. (1986) Zbl0633.03066MR0870978
  9. To the theory of lattice ordered groups, Czechoslov. Math. J. 6 (1956), 1–25. (Russian) (1956) 
  10. On the variety of bounded commutative B C K -algebras, Math. Japonica 24 (1979), 238–282. (1979) Zbl0422.03038MR0550212

Citations in EuDML Documents

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  1. Ján Jakubík, On archimedean M V -algebras
  2. Ján Jakubík, On product M V -algebras
  3. Jiří Rachůnek, DRl-semigroups and M V -algebras
  4. Ján Jakubík, Regular representations of semisimple MV-algebras by continuous real functions
  5. Beloslav Riečan, On the extension of D -poset valued measures
  6. Ján Jakubík, Cantor-Bernstein theorem for M V -algebras
  7. Ján Jakubík, Complete generators and maximal completions of M V -algebras
  8. Ján Jakubík, Radical classes of M V -algebras
  9. Ján Jakubík, On a homogeneity condition for M V -algebras
  10. Ján Jakubík, Higher degrees of distributivity in M V -algebras

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