# A groupoid characterization of Boolean algebras

Discussiones Mathematicae - General Algebra and Applications (2004)

- Volume: 24, Issue: 2, page 177-184
- ISSN: 1509-9415

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topIvan Chajda. "A groupoid characterization of Boolean algebras." Discussiones Mathematicae - General Algebra and Applications 24.2 (2004): 177-184. <http://eudml.org/doc/287628>.

@article{IvanChajda2004,

abstract = {We present a groupoid which can be converted into a Boolean algebra with respect to term operations. Also conversely, every Boolean algebra can be reached in this way.},

author = {Ivan Chajda},

journal = {Discussiones Mathematicae - General Algebra and Applications},

keywords = {groupoid; Boolean algebra; semi-bolean algebra; involution; dualautomorphism (or antiautomorphism); Boolean algebras; groupoids; involutions; identities; term operations},

language = {eng},

number = {2},

pages = {177-184},

title = {A groupoid characterization of Boolean algebras},

url = {http://eudml.org/doc/287628},

volume = {24},

year = {2004},

}

TY - JOUR

AU - Ivan Chajda

TI - A groupoid characterization of Boolean algebras

JO - Discussiones Mathematicae - General Algebra and Applications

PY - 2004

VL - 24

IS - 2

SP - 177

EP - 184

AB - We present a groupoid which can be converted into a Boolean algebra with respect to term operations. Also conversely, every Boolean algebra can be reached in this way.

LA - eng

KW - groupoid; Boolean algebra; semi-bolean algebra; involution; dualautomorphism (or antiautomorphism); Boolean algebras; groupoids; involutions; identities; term operations

UR - http://eudml.org/doc/287628

ER -

## References

top- [1] J.C. Abbott, Semi-boolean algebra, Mat. Vestnik 4 (1967), 177-198. Zbl0153.02704
- [2] G. Birkhoff, Lattice Theory, third edition, Publ. Amer. Math. Soc., Providence, RI, 1967.
- [3] J. Dudek, Polynomials in idempotent commutative groupoids, Dissert. Math. 286 (1989), 1-59. Zbl0687.08003

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