Geodesic
Directoids with sectionally switching involutions
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 45 (2006) no. 1, pp. 35-41 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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/