Geodesic
A groupoid characterization of Boolean algebras
Discussiones Mathematicae. General Algebra and Applications, Tome 24 (2004) no. 2, pp. 177-184.

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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.
Keywords: groupoid, Boolean algebra, semi-bolean algebra, involution, dualautomorphism (or antiautomorphism) 
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Chajda, Ivan. A groupoid characterization of Boolean algebras. Discussiones Mathematicae. General Algebra and Applications, Tome 24 (2004) no. 2, pp. 177-184. http://geodesic.mathdoc.fr/item/DMGAA_2004_24_2_a1/

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[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.