Sequential convergences on M V -algebras

Ján Jakubík

Czechoslovak Mathematical Journal (1995)

  • Volume: 45, Issue: 4, page 709-726
  • ISSN: 0011-4642

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Jakubík, Ján. "Sequential convergences on $MV$-algebras." Czechoslovak Mathematical Journal 45.4 (1995): 709-726. <http://eudml.org/doc/31499>.

@article{Jakubík1995,
author = {Jakubík, Ján},
journal = {Czechoslovak Mathematical Journal},
keywords = {-algebra; -groups; sequential convergence; Boolean algebras},
language = {eng},
number = {4},
pages = {709-726},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Sequential convergences on $MV$-algebras},
url = {http://eudml.org/doc/31499},
volume = {45},
year = {1995},
}

TY - JOUR
AU - Jakubík, Ján
TI - Sequential convergences on $MV$-algebras
JO - Czechoslovak Mathematical Journal
PY - 1995
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 45
IS - 4
SP - 709
EP - 726
LA - eng
KW - -algebra; -groups; sequential convergence; Boolean algebras
UR - http://eudml.org/doc/31499
ER -

References

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  1. Lattice theory, Amer. Math. Soc. Colloquium Publ. Vol. 25, Third Edition, Providence, 1967. (1967) MR0227053
  2. 10.1090/S0002-9947-1958-0094302-9, Trans. Amer. Math. Soc. 88 (1958), 467–490. (1958) Zbl0084.00704MR0094302DOI10.1090/S0002-9947-1958-0094302-9
  3. A new proof of the completeness of the Lukasiewicz axioms, Trans. Amer. Math. Soc. 83 (1959), 74–80. (1959) Zbl0093.01104MR0122718
  4. Cyclic ordered groups and M V -algebras, Czechoslovak Math. J. 43(1993), 249–263. Zbl0795.06015MR1211747
  5. The cardinality of the system of all sequential convergences on an abelian lattice ordered group, Czech. Math. J. 37 (1987), 533–546. (1987) MR0913986
  6. Sequential convergences on lattice ordered groups, Czech. Math. J. 39 (1989), 232–238. (1989) MR0992130
  7. Distributivity in lattice ordered groups, Czech. Math. J. 22 (1972), 108–125. (1972) MR0325487
  8. Convergences and complete distributivity of lattice ordered groups, Math. Slov. 38 (1988), 269–272. (1988) MR0977905
  9. Sequential convergences in Boolean algebras, Czech. Math. J. 38 (1988), 520–530. (1988) MR0950306
  10. Lattice ordered groups having a largest convergence, Czech. Math. J. 39 (1989), 717–729. (1989) MR1018008
  11. Convergences and higher degrees of distributivity of lattice ordered groups and of Boolean algebras, Czech. Math. J. 40 (1990), 453–458. (1990) MR1065024
  12. Sequential convergences in lattices, Math. Bohemica 117 (1992), 239–250. (1992) MR1184537
  13. Direct product decompositions of M V -algebras, Czech. Math. J 44 (1994), 725–739. (1994) 
  14. 10.1016/0022-1236(86)90015-7, Journ. Functional. Anal. 65 (1986), 15–63. (1986) MR0819173DOI10.1016/0022-1236(86)90015-7

Citations in EuDML Documents

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  1. Ján Jakubík, Subdirect product decompositions of M V -algebras
  2. Roman Frič, Łukasiewicz tribes are absolutely sequentially closed bold algebras
  3. Ján Jakubík, Sequential convergences on pseudo MV-algebras
  4. Roman Frič, Ján Jakubík, Sequential convergences on Boolean algebras defined by systems of maximal filters
  5. Ján Jakubík, Isometries of M V -algebras
  6. Ján Jakubík, Convex mappings of archimedean MV-algebras
  7. Roman Frič, Duality for generalized events
  8. Ján Jakubík, Sequential convergences on generalized Boolean algebras

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