On a theorem of Cantor-Bernstein type for algebras

Ján Jakubík

Czechoslovak Mathematical Journal (2008)

  • Volume: 58, Issue: 1, page 1-14
  • ISSN: 0011-4642

Abstract

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Freytes proved a theorem of Cantor-Bernstein type for algbras; he applied certain sequences of central elements of bounded lattices. The aim of the present paper is to extend the mentioned result to the case when the lattices under consideration need not be bounded; instead of sequences of central elements we deal with sequences of internal direct factors of lattices.

How to cite

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Jakubík, Ján. "On a theorem of Cantor-Bernstein type for algebras." Czechoslovak Mathematical Journal 58.1 (2008): 1-14. <http://eudml.org/doc/31195>.

@article{Jakubík2008,
abstract = {Freytes proved a theorem of Cantor-Bernstein type for algbras; he applied certain sequences of central elements of bounded lattices. The aim of the present paper is to extend the mentioned result to the case when the lattices under consideration need not be bounded; instead of sequences of central elements we deal with sequences of internal direct factors of lattices.},
author = {Jakubík, Ján},
journal = {Czechoslovak Mathematical Journal},
keywords = {lattice; $\mathcal \{L\}^*$-variety; center; internal direct factor; lattice; -variety; center; internal direct factor},
language = {eng},
number = {1},
pages = {1-14},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On a theorem of Cantor-Bernstein type for algebras},
url = {http://eudml.org/doc/31195},
volume = {58},
year = {2008},
}

TY - JOUR
AU - Jakubík, Ján
TI - On a theorem of Cantor-Bernstein type for algebras
JO - Czechoslovak Mathematical Journal
PY - 2008
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 58
IS - 1
SP - 1
EP - 14
AB - Freytes proved a theorem of Cantor-Bernstein type for algbras; he applied certain sequences of central elements of bounded lattices. The aim of the present paper is to extend the mentioned result to the case when the lattices under consideration need not be bounded; instead of sequences of central elements we deal with sequences of internal direct factors of lattices.
LA - eng
KW - lattice; $\mathcal {L}^*$-variety; center; internal direct factor; lattice; -variety; center; internal direct factor
UR - http://eudml.org/doc/31195
ER -

References

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