Geodesic
Sheffer operation in ortholattices
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 44 (2005) no. 1, pp. 19-23

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We introduce the concept of Sheffer operation in ortholattices and, more generally, in lattices with antitone involution. By using this, all the fundamental operations of an ortholattice or a lattice with antitone involution are term functions built up from the Sheffer operation. We list axioms characterizing the Sheffer operation in these lattices.
We introduce the concept of Sheffer operation in ortholattices and, more generally, in lattices with antitone involution. By using this, all the fundamental operations of an ortholattice or a lattice with antitone involution are term functions built up from the Sheffer operation. We list axioms characterizing the Sheffer operation in these lattices.
Classification : 06C15, 06E30
Keywords: ortholattice; orthocomplementation; lattice with antitone involution; Sheffer operation 
Chajda, Ivan. Sheffer operation in ortholattices. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 44 (2005) no. 1, pp. 19-23. http://geodesic.mathdoc.fr/item/AUPO_2005_44_1_a2/
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[1] Birkhoff G.: Lattice Theory. : Proc. Amer. Math. Soc., Providence, R. I. third edition, 1967. | MR

[2] Grätzer G.: General Lattice Theory. : Birkhäuser Verlag, Basel. second edition, 1998. | MR

[3] Sheffer H. M.: A set of five independent postulates for Boolean algebras. Trans. Amer. Math. Soc. 14 (1913), 481–488. | MR