Sequential convergences on Boolean algebras defined by systems of maximal filters

Roman Frič; Ján Jakubík

Czechoslovak Mathematical Journal (2001)

  • Volume: 51, Issue: 2, page 261-274
  • ISSN: 0011-4642

Abstract

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We study sequential convergences defined on a Boolean algebra by systems of maximal filters. We describe the order properties of the system of all such convergences. We introduce the category of 2-generated convergence Boolean algebras and generalize the construction of Novák sequential envelope to such algebras.

How to cite

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Frič, Roman, and Jakubík, Ján. "Sequential convergences on Boolean algebras defined by systems of maximal filters." Czechoslovak Mathematical Journal 51.2 (2001): 261-274. <http://eudml.org/doc/30633>.

@article{Frič2001,
abstract = {We study sequential convergences defined on a Boolean algebra by systems of maximal filters. We describe the order properties of the system of all such convergences. We introduce the category of 2-generated convergence Boolean algebras and generalize the construction of Novák sequential envelope to such algebras.},
author = {Frič, Roman, Jakubík, Ján},
journal = {Czechoslovak Mathematical Journal},
keywords = {sequential convergence on Boolean algebras; 2-generated convergence; 2-embedded Boolean algebra; absolutely sequentially closed Boolean algebra; sequential convergence on Boolean algebras; 2-generated convergence; 2-embedded Boolean algebra; absolutely sequentially closed Boolean algebra},
language = {eng},
number = {2},
pages = {261-274},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Sequential convergences on Boolean algebras defined by systems of maximal filters},
url = {http://eudml.org/doc/30633},
volume = {51},
year = {2001},
}

TY - JOUR
AU - Frič, Roman
AU - Jakubík, Ján
TI - Sequential convergences on Boolean algebras defined by systems of maximal filters
JO - Czechoslovak Mathematical Journal
PY - 2001
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 51
IS - 2
SP - 261
EP - 274
AB - We study sequential convergences defined on a Boolean algebra by systems of maximal filters. We describe the order properties of the system of all such convergences. We introduce the category of 2-generated convergence Boolean algebras and generalize the construction of Novák sequential envelope to such algebras.
LA - eng
KW - sequential convergence on Boolean algebras; 2-generated convergence; 2-embedded Boolean algebra; absolutely sequentially closed Boolean algebra; sequential convergence on Boolean algebras; 2-generated convergence; 2-embedded Boolean algebra; absolutely sequentially closed Boolean algebra
UR - http://eudml.org/doc/30633
ER -

References

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