Geodesic
Directoids with sectionally switching involutions
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 45 (2006) no. 1, pp. 35-41.

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It is shown that every directoid equipped with sectionally switching mappings can be represented as a certain implication algebra. Moreover, if the directoid is also commutative, the corresponding implication algebra is defined by four simple identities.
Classification : 03G25, 06A11, 06A12
Keywords: Directoid; commutative directoid; semilattice; involution; implication algebra; sectionally switching mapping 
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Chajda, Ivan. Directoids with sectionally switching involutions. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 45 (2006) no. 1, pp. 35-41. http://geodesic.mathdoc.fr/item/AUPO_2006__45_1_a2/