Cantor-Bernstein theorem for lattices

Ján Jakubík

Mathematica Bohemica (2002)

  • Volume: 127, Issue: 3, page 463-471
  • ISSN: 0862-7959

Abstract

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This paper is a continuation of a previous author’s article; the result is now extended to the case when the lattice under consideration need not have the least element.

How to cite

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Jakubík, Ján. "Cantor-Bernstein theorem for lattices." Mathematica Bohemica 127.3 (2002): 463-471. <http://eudml.org/doc/249046>.

@article{Jakubík2002,
abstract = {This paper is a continuation of a previous author’s article; the result is now extended to the case when the lattice under consideration need not have the least element.},
author = {Jakubík, Ján},
journal = {Mathematica Bohemica},
keywords = {lattice; direct product decomposition; Cantor-Bernstein Theorem; lattice; direct product decomposition; Cantor-Bernstein theorem},
language = {eng},
number = {3},
pages = {463-471},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Cantor-Bernstein theorem for lattices},
url = {http://eudml.org/doc/249046},
volume = {127},
year = {2002},
}

TY - JOUR
AU - Jakubík, Ján
TI - Cantor-Bernstein theorem for lattices
JO - Mathematica Bohemica
PY - 2002
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 127
IS - 3
SP - 463
EP - 471
AB - This paper is a continuation of a previous author’s article; the result is now extended to the case when the lattice under consideration need not have the least element.
LA - eng
KW - lattice; direct product decomposition; Cantor-Bernstein Theorem; lattice; direct product decomposition; Cantor-Bernstein theorem
UR - http://eudml.org/doc/249046
ER -

References

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  1. A Cantor-Bernstein theorem for σ -complete M V -algebras, (to appear). (to appear) 
  2. Cantor-Bernstein theorem for lattice ordered groups, Czechoslovak Math. J. 22 (1972), 159–175. (1972) MR0297666
  3. On complete lattice ordered groups with strong units, Czechoslovak Math. J. 46 (1996), 221–230. (1996) MR1388611
  4. Convex isomorphisms of archimedean lattice ordered groups, Mathware and Soft Computing 5 (1998), 49–56. (1998) MR1632739
  5. 10.1023/A:1022467218309, Czechoslovak Math. J. 49 (1999), 517–526. (1999) MR1708370DOI10.1023/A:1022467218309
  6. Direct product decompositions of infinitely distributive lattices, Math. Bohem. 125 (2000), 341–354. (2000) MR1790125
  7. On orthogonally σ -complete lattice ordered groups, (to appear). (to appear) MR1940067
  8. Convex mappings of archimedean M V -algebras, (to appear). (to appear) MR1864107
  9. A theorem of Cantor-Bernstein type for orthogonally σ -complete pseudo M V -algebras, (Submitted). 
  10. A generalization of theorem of Banach and Cantor-Bernstein, Coll. Math. 1 (1948), 140–144. (1948) MR0027264
  11. Boolean Algebras, Second Edition, Springer, Berlin, 1964. (1964) Zbl0123.01303MR0126393
  12. 10.1090/S0002-9947-1957-0084466-4, Trans. Amer. Math. Soc. 84 (1957), 230–257. (1957) MR0084466DOI10.1090/S0002-9947-1957-0084466-4
  13. Cardinal Algebras, New York, 1949. (1949) Zbl0041.34502

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