Cantor-Bernstein theorem for M V -algebras

Ján Jakubík

Czechoslovak Mathematical Journal (1999)

  • Volume: 49, Issue: 3, page 517-526
  • ISSN: 0011-4642

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Jakubík, Ján. "Cantor-Bernstein theorem for $MV$-algebras." Czechoslovak Mathematical Journal 49.3 (1999): 517-526. <http://eudml.org/doc/30503>.

@article{Jakubík1999,
author = {Jakubík, Ján},
journal = {Czechoslovak Mathematical Journal},
keywords = {MV-algebra; complete MV-algebra; singular element of an MV-algebra; convex isomorphism of a lattice into a lattice},
language = {eng},
number = {3},
pages = {517-526},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Cantor-Bernstein theorem for $MV$-algebras},
url = {http://eudml.org/doc/30503},
volume = {49},
year = {1999},
}

TY - JOUR
AU - Jakubík, Ján
TI - Cantor-Bernstein theorem for $MV$-algebras
JO - Czechoslovak Mathematical Journal
PY - 1999
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 49
IS - 3
SP - 517
EP - 526
LA - eng
KW - MV-algebra; complete MV-algebra; singular element of an MV-algebra; convex isomorphism of a lattice into a lattice
UR - http://eudml.org/doc/30503
ER -

References

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  1. 10.1017/S1446788700005760, Journ. Austral. Math. Soc. 9 (1969), 182–208. (1969) MR0249340DOI10.1017/S1446788700005760
  2. Cyclic ordered groups and M V -algebras, Czechoslovak Math. J. 43 (1993), 249–263. (1993) Zbl0795.06015MR1211747
  3. Cantor-Bernstein theorem for lattice ordered groups, Czechoslovak Math. J. 22 (1972), 159–175. (1972) MR0297666
  4. Direct product decompositions of M V -algebras, Czechoslovak Math. J. 44 (1994), 725–739. (1994) MR1295146
  5. On complete lattice ordered groups with strong units, Czechoslovak Math. J. 46 (1996), 221–230. (1996) MR1388611
  6. On complete M V -algebras, Czechoslovak Math. J. 45 (1995), 473–480. (1995) MR1344513
  7. Functional Analysis in Semiordered Spaces, Moskva, 1950. (Russian) (1950) 
  8. 10.1016/0022-1236(86)90015-7, Journ. Functional. Anal. 65 (1986), 15–63. (1986) MR0819173DOI10.1016/0022-1236(86)90015-7
  9. A generalization of theorem of Banach and Cantor-Bernstein, Coll. Math. 1 (1948), 140–144. (1948) MR0027264
  10. Boolean Algebras, Second Edition, Springer Verlag, Berlin, 1964. (1964) Zbl0123.01303MR0126393
  11. Cardinal Algebras, New York, 1949. (1949) Zbl0041.34502

Citations in EuDML Documents

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  1. Anna de Simone, Daniele Mundici, Mirko Navara, A Cantor-Bernstein theorem for σ -complete MV-algebras
  2. Ján Jakubík, On orthogonally σ -complete lattice ordered groups
  3. Ján Jakubík, Cantor-Bernstein theorem for lattices
  4. Ján Jakubík, Convex mappings of archimedean MV-algebras
  5. Ján Jakubík, On the Schröder-Bernstein problem for Carathéodory vector lattices
  6. Ján Jakubík, Direct product decompositions of infinitely distributive lattices
  7. Ján Jakubík, On a theorem of Cantor-Bernstein type for algebras

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