# Representing free Boolean algebras

Fundamenta Mathematicae (1992)

- Volume: 141, Issue: 1, page 21-30
- ISSN: 0016-2736

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topDow, Alan, and Nyikos, P.. "Representing free Boolean algebras." Fundamenta Mathematicae 141.1 (1992): 21-30. <http://eudml.org/doc/211949>.

@article{Dow1992,

abstract = {Partitioner algebras are defined in [2] and are natural tools for studying the properties of maximal almost disjoint families of subsets of ω. In this paper we investigate which free algebras can be represented as partitioner algebras or as subalgebras of partitioner algebras. In so doing we answer a question raised in [2] by showing that the free algebra with $ℵ_1$ generators is represented. It was shown in [2] that it is consistent that the free Boolean algebra of size continuum is not a subalgebra of any partitioner algebra.},

author = {Dow, Alan, Nyikos, P.},

journal = {Fundamenta Mathematicae},

keywords = {free Boolean algebra; partitioner algebra},

language = {eng},

number = {1},

pages = {21-30},

title = {Representing free Boolean algebras},

url = {http://eudml.org/doc/211949},

volume = {141},

year = {1992},

}

TY - JOUR

AU - Dow, Alan

AU - Nyikos, P.

TI - Representing free Boolean algebras

JO - Fundamenta Mathematicae

PY - 1992

VL - 141

IS - 1

SP - 21

EP - 30

AB - Partitioner algebras are defined in [2] and are natural tools for studying the properties of maximal almost disjoint families of subsets of ω. In this paper we investigate which free algebras can be represented as partitioner algebras or as subalgebras of partitioner algebras. In so doing we answer a question raised in [2] by showing that the free algebra with $ℵ_1$ generators is represented. It was shown in [2] that it is consistent that the free Boolean algebra of size continuum is not a subalgebra of any partitioner algebra.

LA - eng

KW - free Boolean algebra; partitioner algebra

UR - http://eudml.org/doc/211949

ER -

## References

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