# Sequential convergences on Boolean algebras defined by systems of maximal filters

Czechoslovak Mathematical Journal (2001)

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

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topFrič, 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 -

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