# Cantor-Bernstein theorem for lattices

Mathematica Bohemica (2002)

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

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topJakubík, 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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- On orthogonally $\sigma $-complete lattice ordered groups, (to appear). (to appear) MR1940067
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- A theorem of Cantor-Bernstein type for orthogonally $\sigma $-complete pseudo $MV$-algebras, (Submitted).
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- Higher degrees of distributivity and completeness in Boolean algebras, Trans. Amer. Math. Soc. 84 (1957), 230–257. (1957) MR0084466
- Cardinal Algebras, New York, 1949. (1949) Zbl0041.34502

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